23167275264 has 405 divisors, whose sum is σ = 80894795751. Its totient is φ = 6575385600.

The previous prime is 23167275259. The next prime is 23167275337. The reversal of 23167275264 is 46257276132.

The square root of 23167275264 is 152208.

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

23167275264 is a `hidden beast` number, since 2 + 316 + 7 + 2 + 75 + 264 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153425589 + ... + 153425739.

Almost surely, 2^23167275264 is an apocalyptic number.

23167275264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23167275264 is the 152208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23167275264

23167275264 is an abundant number, since it is smaller than the sum of its proper divisors (57727520487).

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

23167275264 is an frugal number, since it uses more digits than its factorization.

23167275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 163 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

It can be divided in two parts, 231672 and 75264, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 23167275264 in words is "twenty-three billion, one hundred sixty-seven million, two hundred seventy-five thousand, two hundred sixty-four".