31968278944 has 72 divisors (see below), whose sum is σ = 73338662628. Its totient is φ = 13677189120.

The previous prime is 31968278863. The next prime is 31968278977. The reversal of 31968278944 is 44987286913.

It can be written as a sum of positive squares in 2 ways, for example, as 30968960400 + 999318544 = 175980^2 + 31612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912634 + ... + 947014.

Almost surely, 2^31968278944 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 31968278944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36669331314).

31968278944 is an abundant number, since it is smaller than the sum of its proper divisors (41370383684).

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

31968278944 is a wasteful number, since it uses less digits than its factorization.

31968278944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34998 (or 34983 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 61.

The spelling of 31968278944 in words is "thirty-one billion, nine hundred sixty-eight million, two hundred seventy-eight thousand, nine hundred forty-four".