31825613873664 has 720 divisors, whose sum is σ = 101476887063552. Its totient is φ = 9595861696512.

The previous prime is 31825613873621. The next prime is 31825613873737. The reversal of 31825613873664 is 46637831652813.

31825613873664 is a `hidden beast` number, since 3 + 1 + 8 + 2 + 5 + 613 + 8 + 7 + 3 + 6 + 6 + 4 = 666.

It is a super-3 number, since 3×31825613873664³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8208822894 + ... + 8208826770.

Almost surely, 2^{31825613873664} 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 31825613873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50738443531776).

31825613873664 is an abundant number, since it is smaller than the sum of its proper divisors (69651273189888).

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

31825613873664 is a wasteful number, since it uses less digits than its factorization.

31825613873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4105 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 31825613873664 in words is "thirty-one trillion, eight hundred twenty-five billion, six hundred thirteen million, eight hundred seventy-three thousand, six hundred sixty-four".