31248944064 has 168 divisors, whose sum is σ = 97315672272. Its totient is φ = 9529712640.

The previous prime is 31248944057. The next prime is 31248944119. The reversal of 31248944064 is 46044984213.

31248944064 is a `hidden beast` number, since 3 + 124 + 89 + 440 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827679 + ... + 864609.

It is an arithmetic number, because the mean of its divisors is an integer number (579259954).

Almost surely, 2^31248944064 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 31248944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657836136).

31248944064 is an abundant number, since it is smaller than the sum of its proper divisors (66066728208).

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

31248944064 is a wasteful number, since it uses less digits than its factorization.

31248944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37075 (or 37062 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 31248944064 in words is "thirty-one billion, two hundred forty-eight million, nine hundred forty-four thousand, sixty-four".