31187963664 has 240 divisors, whose sum is σ = 105852225024. Its totient is φ = 8442316800.

The previous prime is 31187963657. The next prime is 31187963671. The reversal of 31187963664 is 46636978113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31187963657) and next prime (31187963671).

It is a self number, because there is not a number n which added to its sum of digits gives 31187963664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613924 + ... + 662780.

Almost surely, 2^31187963664 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 31187963664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52926112512).

31187963664 is an abundant number, since it is smaller than the sum of its proper divisors (74664261360).

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

31187963664 is a wasteful number, since it uses less digits than its factorization.

31187963664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48926 (or 48917 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 31187963664 in words is "thirty-one billion, one hundred eighty-seven million, nine hundred sixty-three thousand, six hundred sixty-four".