81623857324032 has 168 divisors, whose sum is σ = 244520752015176. Its totient is φ = 27207951777792.

The previous prime is 81623857324019. The next prime is 81623857324033. The reversal of 81623857324032 is 23042375832618.

81623857324032 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 38 + 573 + 2 + 4 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 81623857324032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81623857324033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18511093 + ... + 22492404.

It is an arithmetic number, because the mean of its divisors is an integer number (1455480666757).

Almost surely, 2^{81623857324032} is an apocalyptic number.

It is an amenable number.

81623857324032 is an abundant number, since it is smaller than the sum of its proper divisors (162896894691144).

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

81623857324032 is an frugal number, since it uses more digits than its factorization.

81623857324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41003538 (or 41003502 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 81623857324032 in words is "eighty-one trillion, six hundred twenty-three billion, eight hundred fifty-seven million, three hundred twenty-four thousand, thirty-two".