31596965664 has 192 divisors, whose sum is σ = 91483136640. Its totient is φ = 9469624320.

The previous prime is 31596965627. The next prime is 31596965677. The reversal of 31596965664 is 46656969513.

It is a junction number, because it is equal to n+sod(n) for n = 31596965598 and 31596965607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46671694 + ... + 46672370.

It is an arithmetic number, because the mean of its divisors is an integer number (476474670).

Almost surely, 2^31596965664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31596965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45741568320).

31596965664 is an abundant number, since it is smaller than the sum of its proper divisors (59886170976).

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

31596965664 is a wasteful number, since it uses less digits than its factorization.

31596965664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 60.

The spelling of 31596965664 in words is "thirty-one billion, five hundred ninety-six million, nine hundred sixty-five thousand, six hundred sixty-four".