Ability power

Ability power (AP) is a stat that increases the effectiveness of some items, abilities, and runes.

Every champion starts with 0 ability power, and level-ups do not grant additional ability power.

Ability power can be increased with items, abilities and runes, it stacks additively, and each bonus point acquired directly affects its statistic.

Effects that benefit from ability power receive a bonus based on a certain percentage of the current ability power. For example, if a spell deals 100 (+20% AP) damage and a champion has 50 ability power, the spell's damage will increase by 10. In-game, spell descriptions do not display the percentage, but do display the resulting bonus; the previous example would display as 100 (+10).

Gold Value ​

• Ability power has a gold value of 21.75 per point.

Ability power as scaling

A lot of champion abilities use the champion's ability power to increase the magnitude of the ability.

Items

• Hextech Gunblade
• Hextech GLP-800
• Hextech Protobelt-01
• Lich Bane
• Luden's Echo
• Nashor's Tooth
• Runic Echoes

Runes

• Fleet Footwork
• Electrocute
• Predator
• Dark Harvest
• Taste of Blood
• Summon Aery
• Arcane Comet
• Nullifying Orb
• Aftershock
• Guardian

Increasing ability power

Items

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• Guinsoo's Rageblade
• Spellbinder

Specific to Viktor

• Prototype Hex Core
• The Hex Core mk-1
• The Hex Core mk-2
• Perfect Hex Core

Champion abilities

• Nunu's Blood Boil
• Singed's Insanity Potion
• Thresh's Damnation
• Veigar's Phenomenal Evil Power
• Vladimir's Crimson Pact

Runes

• Coup de Grace
• Eyeball Collection
• Transcendence
• Celerity
• Absolute Focus
• Waterwalking
• Gathering Storm
• Trait: Domination
• Trait: Precision
• Trait: Resolve
• Trait: Sorcery
• Trait: Inspiration

Neutral Buffs

• Dragon Slayer
• Hand of Baron

Trivia

• The ability with the largest AP ratio is Annie's Summon Tibbers, with a maximum AP ratio of (+ 515% AP) counting initial cast of (+ 65% AP) and the target taking damage from all 45 ticks of Tibbers aura damage ((+ 10% AP) per tick).
• The second and third bounces of Nami's Ebb and Flow scale exponentially, however the low base ratio means it will not beat other spells at normal levels of AP.
• Camille, Darius, Draven, Garen, Illaoi, Kayn, Kalista, Kindred, Kled, Olaf, Riven, Talon, Vayne, Xayah, Zed have no abilities or innate effects that scale with ability power.

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Last updated: February 26, 2018, patch V8.4

• Aside from Veigar and Thresh (or with Gathering Storm) who may obtain theoretically infinite ability power due to their respective passive effects, and assuming Kleptomancy gives no biscuits; one of the highest attainable ability power by a playable champion on Summoner's Rift is a level 18 Viktor with 2618.8.
• Runes:
  • Trait: Inspiration ( Sorcery as a secondary path)
  • Kleptomancy
  • Biscuit Delivery
  • Absolute Focus
  • Waterwalking
• Buffs:
  • Hand of Baron
  • Three Infernal Drake buff
  • Empowered Aspect of the Dragon (from the Elder Dragon)
  • Nunu's Blood Boil
  • Pilfered Potion of Rouge (consumed)
  • Travel Size Elixir of Sorcery (consumed)
• Items:
  • Mejai's Soulstealer
  • Rabadon's Deathcrown (thanks to Ornn's Living Forge)
  • Rabadon's Deathcap
  • Spellbinder (with a fully charged active)
  • Seraph's Embrace
  • Perfect Hex Core
  • Elixir of Sorcery (consumed)
• Viktor's AP:
  • Items = 175 + 120 + 200 + 145 + 147.2 + 180 = 967.2 AP
    • Seraph's Embrace's AP = 50 + ( 1174 + 200 + 1400 + 450 +  160) × 0.03 = 147.2 AP
  • Runes = 22 + 40 + 30 + 27 + 25 = 144 AP
  • Buffs = 140 + 80 + 50 = 270 AP
  • AP Multiplier = 1 + 0.4 + 0.48 = 1.88
    • Viktor's AP = (967.2 + 144 + 270) × 1.88 = 2618.8 AP

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Last updated: February 27th, 2018, patch V8.4

• The highest attainable ability power by a playable champion at level 1 is 123.3 on Viktor buffed by Nunu thanks to Blood Boil. This applies only if it is possible to get level 1 a Pilfered Potion of Rouge and Travel Size Elixir of Sorcery through Kleptomancy.

• Runes:
  • Trait: Inspiration
  • Kleptomancy
  • Absolute Focus
  • Waterwalking
• Items:
  • Amplifying Tome
  • Prototype Hex Core
• Buffs:
  • Nunu's Blood Boil

Relevant mathematics:

• Items = 20 +  1 = 21 AP
• Runes = 22 + 5 + 5 + Kleptomancy ( 10 + 25) = 67 AP
• AP Multiplier = 1 + 0.4 = 1.4
  • AP = (21 + 67) × 1.4 = 123.3 AP

Champion statistics