31374964448 has 96 divisors (see below), whose sum is σ = 67319483616. Its totient is φ = 14336114688.

The previous prime is 31374964441. The next prime is 31374964507. The reversal of 31374964448 is 84446947313.

It is a happy number.

It is a super-2 number, since 2×31374964448² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31374964448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31374964441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4042940 + ... + 4050692.

It is an arithmetic number, because the mean of its divisors is an integer number (701244621).

Almost surely, 2^31374964448 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 31374964448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33659741808).

31374964448 is an abundant number, since it is smaller than the sum of its proper divisors (35944519168).

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

31374964448 is a wasteful number, since it uses less digits than its factorization.

31374964448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 7988 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 53.

The spelling of 31374964448 in words is "thirty-one billion, three hundred seventy-four million, nine hundred sixty-four thousand, four hundred forty-eight".