31368075648 has 512 divisors, whose sum is σ = 110547763200. Its totient is φ = 7651860480.

The previous prime is 31368075643. The next prime is 31368075667. The reversal of 31368075648 is 84657086313.

It is a self number, because there is not a number n which added to its sum of digits gives 31368075648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31368075643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24914443 + ... + 24915701.

It is an arithmetic number, because the mean of its divisors is an integer number (215913600).

Almost surely, 2^31368075648 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 31368075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55273881600).

31368075648 is an abundant number, since it is smaller than the sum of its proper divisors (79179687552).

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

31368075648 is a wasteful number, since it uses less digits than its factorization.

31368075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 31368075648 in words is "thirty-one billion, three hundred sixty-eight million, seventy-five thousand, six hundred forty-eight".