31115695968 has 192 divisors, whose sum is σ = 107065405440. Its totient is φ = 8603366400.

The previous prime is 31115695939. The next prime is 31115695993. The reversal of 31115695968 is 86959651113.

31115695968 is a `hidden beast` number, since 3 + 1 + 11 + 569 + 5 + 9 + 68 = 666.

It is a super-2 number, since 2×31115695968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104508 + ... + 270468.

It is an arithmetic number, because the mean of its divisors is an integer number (557632320).

Almost surely, 2^31115695968 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 31115695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53532702720).

31115695968 is an abundant number, since it is smaller than the sum of its proper divisors (75949709472).

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

31115695968 is a wasteful number, since it uses less digits than its factorization.

31115695968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166018 (or 166004 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 31115695968 in words is "thirty-one billion, one hundred fifteen million, six hundred ninety-five thousand, nine hundred sixty-eight".