Octooctogintaquingentillion

An octooctogintaquingentillion is equal to \(10^{1767}\) in the short scale and \(10^{3528}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 588th -illion number.
In the long scale, \(10^{1767}\) is called quattuornonagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1767}\) (exact) 	\(1\times10^{1767}\) (exact)
Arrow notation 	\(10\uparrow 1767\) (exact) 	\(10\uparrow 1767\) (exact)
Steinhaus-Moser Notation 	631[3] 	632[3]
Chained arrow notation 	\(10\rightarrow 1767\) (exact) 	\(10\rightarrow 1767\) (exact)
Taro's multivariable Ackermann function	A(3,5866) 	A(3,5867)
BEAF & Bird's array notation 	{10,1767} (exact) 	{10,1767} (exact)
Hyper-E notation 	E1767 (exact) 	E1767 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(631) 	m(1)(632)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5857)\) 	\(f_2(5858)\)
Hardy hierarchy 	\(H_{\omega^2}(5857)\) 	\(H_{\omega^2}(5858)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 6+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 6+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3528}\) (exact) 	\(1\times10^{3528}\) (exact)
Arrow notation 	\(10\uparrow 3528\) (exact) 	\(10\uparrow 3528\) (exact)
Steinhaus-Moser Notation 	1152[3] 	1153[3]
Chained arrow notation 	\(10\rightarrow 3528\) (exact) 	\(10\rightarrow 3528\) (exact)
Taro's multivariable Ackermann function	A(3,11716) 	A(3,11717)
BEAF & Bird's array notation 	{10,3528} (exact) 	{10,3528} (exact)
Hyper-E notation 	E3528 (exact) 	E3528 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1152) 	m(1)(1153)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11706)\) 	\(f_2(11707)\)
Hardy hierarchy 	\(H_{\omega^2}(11706)\) 	\(H_{\omega^2}(11707)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega 2+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers