31249252944 has 360 divisors, whose sum is σ = 110675931912. Its totient is φ = 8157542400.

The previous prime is 31249252913. The next prime is 31249252949. The reversal of 31249252944 is 44925294213.

31249252944 is a `hidden beast` number, since 31 + 2 + 4 + 92 + 529 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17061584400 + 14187668544 = 130620^2 + 119112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31249252944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31249252949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9262842 + ... + 9266214.

Almost surely, 2^31249252944 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 31249252944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55337965956).

31249252944 is an abundant number, since it is smaller than the sum of its proper divisors (79426678968).

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

31249252944 is a wasteful number, since it uses less digits than its factorization.

31249252944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3499 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 31249252944 in words is "thirty-one billion, two hundred forty-nine million, two hundred fifty-two thousand, nine hundred forty-four".