31364849664 has 168 divisors, whose sum is σ = 93533561472. Its totient is φ = 10116956160.

The previous prime is 31364849647. The next prime is 31364849707. The reversal of 31364849664 is 46694846313.

It is a happy number.

31364849664 is a `hidden beast` number, since 3 + 13 + 6 + 484 + 96 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31364849664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2278707 + ... + 2292429.

Almost surely, 2^31364849664 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 31364849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46766780736).

31364849664 is an abundant number, since it is smaller than the sum of its proper divisors (62168711808).

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

31364849664 is a wasteful number, since it uses less digits than its factorization.

31364849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786 (or 13759 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 31364849664 in words is "thirty-one billion, three hundred sixty-four million, eight hundred forty-nine thousand, six hundred sixty-four".