31868961325056 has 576 divisors, whose sum is σ = 98900797850400. Its totient is φ = 10254521991168.

The previous prime is 31868961325021. The next prime is 31868961325067. The reversal of 31868961325056 is 65052316986813.

It is a happy number.

31868961325056 is a `hidden beast` number, since 3 + 1 + 8 + 6 + 8 + 9 + 613 + 2 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 31868961324984 and 31868961325002.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6696564405 + ... + 6696569163.

Almost surely, 2^{31868961325056} is an apocalyptic number.

31868961325056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31868961325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49450398925200).

31868961325056 is an abundant number, since it is smaller than the sum of its proper divisors (67031836525344).

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

31868961325056 is an frugal number, since it uses more digits than its factorization.

31868961325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 31868961325056 in words is "thirty-one trillion, eight hundred sixty-eight billion, nine hundred sixty-one million, three hundred twenty-five thousand, fifty-six".