31138163515008 has 192 divisors, whose sum is σ = 98698088623680. Its totient is φ = 9344196956160.

The previous prime is 31138163514977. The next prime is 31138163515009. The reversal of 31138163515008 is 80051536183113.

31138163515008 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 8 + 1 + 635 + 1 + 5 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (31138163515009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10623141 + ... + 13233572.

It is an arithmetic number, because the mean of its divisors is an integer number (514052544915).

Almost surely, 2^{31138163515008} is an apocalyptic number.

It is an amenable number.

31138163515008 is an abundant number, since it is smaller than the sum of its proper divisors (67559925108672).

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

31138163515008 is a wasteful number, since it uses less digits than its factorization.

31138163515008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23856847 (or 23856832 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 31138163515008 in words is "thirty-one trillion, one hundred thirty-eight billion, one hundred sixty-three million, five hundred fifteen thousand, eight".