31908968792064 has 828 divisors, whose sum is σ = 115567087175904. Its totient is φ = 8409210421248.

The previous prime is 31908968791943. The next prime is 31908968792087. The reversal of 31908968792064 is 46029786980913.

31908968792064 is a `hidden beast` number, since 319 + 0 + 8 + 96 + 87 + 92 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 31908968791983 and 31908968792001.

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 35 ways as a sum of consecutive naturals, for example, 24045944169 + ... + 24045945495.

Almost surely, 2^{31908968792064} 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 31908968792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57783543587952).

31908968792064 is an abundant number, since it is smaller than the sum of its proper divisors (83658118383840).

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

31908968792064 is an frugal number, since it uses more digits than its factorization.

31908968792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

It can be divided in two parts, 3190896 and 8792064, that added together give a triangular number (11982960 = T₄₈₉₅).

The spelling of 31908968792064 in words is "thirty-one trillion, nine hundred eight billion, nine hundred sixty-eight million, seven hundred ninety-two thousand, sixty-four".