31795791115968 has 224 divisors, whose sum is σ = 102398023296000. Its totient is φ = 9594772669440.

The previous prime is 31795791115961. The next prime is 31795791115987. The reversal of 31795791115968 is 86951119759713.

31795791115968 is a `hidden beast` number, since 3 + 17 + 9 + 5 + 7 + 9 + 1 + 11 + 596 + 8 = 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 = 31795791115896 and 31795791115905.

It is not an unprimeable number, because it can be changed into a prime (31795791115961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043418 + ... + 8042406.

Almost surely, 2^{31795791115968} 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 31795791115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51199011648000).

31795791115968 is an abundant number, since it is smaller than the sum of its proper divisors (70602232180032).

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

31795791115968 is a wasteful number, since it uses less digits than its factorization.

31795791115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999260 (or 6999244 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 72.

The spelling of 31795791115968 in words is "thirty-one trillion, seven hundred ninety-five billion, seven hundred ninety-one million, one hundred fifteen thousand, nine hundred sixty-eight".