31915810750464 has 315 divisors, whose sum is σ = 95509170164793. Its totient is φ = 10621248602112.

The previous prime is 31915810750459. The next prime is 31915810750507. The reversal of 31915810750464 is 46405701851913.

The square root of 31915810750464 is 5649408.

It is a perfect power (a square), and thus also a powerful number.

31915810750464 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 581 + 0 + 7 + 50 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104044953600 + 31811765796864 = 322560^2 + 5640192^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 31915810750464.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52064943822 + ... + 52064944434.

Almost surely, 2^{31915810750464} is an apocalyptic number.

31915810750464 is the 5649408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31915810750464

31915810750464 is an abundant number, since it is smaller than the sum of its proper divisors (63593359414329).

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

31915810750464 is an frugal number, since it uses more digits than its factorization.

31915810750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 31915810750464 in words is "thirty-one trillion, nine hundred fifteen billion, eight hundred ten million, seven hundred fifty thousand, four hundred sixty-four".