31901395968 has 704 divisors, whose sum is σ = 112907934720. Its totient is φ = 8797814784.

The previous prime is 31901395963. The next prime is 31901395969. The reversal of 31901395968 is 86959310913.

31901395968 is a `hidden beast` number, since 3 + 19 + 0 + 1 + 39 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (31901395963) 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, 140534671 + ... + 140534897.

Almost surely, 2^31901395968 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 31901395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56453967360).

31901395968 is an abundant number, since it is smaller than the sum of its proper divisors (81006538752).

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

31901395968 is a wasteful number, since it uses less digits than its factorization.

31901395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 31901395968 in words is "thirty-one billion, nine hundred one million, three hundred ninety-five thousand, nine hundred sixty-eight".