31006536164 has 192 divisors, whose sum is σ = 66003517440. Its totient is φ = 12627394560.

The previous prime is 31006536157. The next prime is 31006536173. The reversal of 31006536164 is 46163560013.

It is a super-2 number, since 2×31006536164² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89355839 + ... + 89356185.

It is an arithmetic number, because the mean of its divisors is an integer number (343768320).

Almost surely, 2^31006536164 is an apocalyptic number.

31006536164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31006536164 is an abundant number, since it is smaller than the sum of its proper divisors (34996981276).

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

31006536164 is a wasteful number, since it uses less digits than its factorization.

31006536164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 31006536164 in words is "thirty-one billion, six million, five hundred thirty-six thousand, one hundred sixty-four".