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The octaeloctol (formerly octaeloctathol) is equal to E100#^#^#^#^#^#^#^#^########100 in Cascading-E Notation.[1][2] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the prefix "octael-" (meaning eight hyperions at the top cascade level) and the suffix "-octol" (meaning cascade level 8).

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100 ((((0,0,0,0,0,0,0,0,1) 1) 1) 1) 2\}$$
Bird's array notation $$\{100,100 [1 [1 [1 [1,1,1,1,1,1,1,1,2] 2] 2] 2] 2\}$$
Hyperfactorial array notation $$100![1,[1,[1,[1,[1,[1,[1,[1,99,8],1,2],1,3],1,4],1,5],1,6],1,7],1,8]$$
Fast-growing hierarchy $$f_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^8}}}}}}}}}(100)$$
Hardy hierarchy $$H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^8}}}}}}}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^8}}}}}}}})}(100)$$