31545355968 has 336 divisors, whose sum is σ = 111317446656. Its totient is φ = 8342231040.

The previous prime is 31545355939. The next prime is 31545356021. The reversal of 31545355968 is 86955354513.

31545355968 is a `hidden beast` number, since 3 + 1 + 5 + 45 + 3 + 5 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2869330 + ... + 2880302.

Almost surely, 2^31545355968 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 31545355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55658723328).

31545355968 is an abundant number, since it is smaller than the sum of its proper divisors (79772090688).

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

31545355968 is a wasteful number, since it uses less digits than its factorization.

31545355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11052 (or 11039 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 31545355968 in words is "thirty-one billion, five hundred forty-five million, three hundred fifty-five thousand, nine hundred sixty-eight".