181888811131456 has 189 divisors, whose sum is σ = 429632599893483. Its totient is φ = 76310510115840.

The previous prime is 181888811131453. The next prime is 181888811131477. The reversal of 181888811131456 is 654131118888181.

The square root of 181888811131456 is 13486616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 129858787713600 + 52030023417856 = 11395560^2 + 7213184^2 .

It is a super-2 number, since 2×181888811131456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181888811131451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15428682810 + ... + 15428694598.

Almost surely, 2^{181888811131456} is an apocalyptic number.

181888811131456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181888811131456 is the 13486616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181888811131456

181888811131456 is an abundant number, since it is smaller than the sum of its proper divisors (247743788762027).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181888811131456 is an frugal number, since it uses more digits than its factorization.

181888811131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23638 (or 11815 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 64.

181888811131456 divided by its sum of digits (64) gives a square (2842012673929 = 1685827²).

The spelling of 181888811131456 in words is "one hundred eighty-one trillion, eight hundred eighty-eight billion, eight hundred eleven million, one hundred thirty-one thousand, four hundred fifty-six".