31368924499968 has 624 divisors, whose sum is σ = 99818356809600. Its totient is φ = 9412883251200.

The previous prime is 31368924499931. The next prime is 31368924499993. The reversal of 31368924499968 is 86999442986313.

31368924499968 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 89 + 2 + 449 + 9 + 96 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 19447565530 + ... + 19447567142.

It is an arithmetic number, because the mean of its divisors is an integer number (159965315400).

Almost surely, 2^{31368924499968} 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 31368924499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49909178404800).

31368924499968 is an abundant number, since it is smaller than the sum of its proper divisors (68449432309632).

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

31368924499968 is a wasteful number, since it uses less digits than its factorization.

31368924499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2069 counting only the distinct ones).

The product of its digits is 4353564672, while the sum is 81.

The spelling of 31368924499968 in words is "thirty-one trillion, three hundred sixty-eight billion, nine hundred twenty-four million, four hundred ninety-nine thousand, nine hundred sixty-eight".