31336157664 has 480 divisors, whose sum is σ = 117411275520. Its totient is φ = 7981535232.

The previous prime is 31336157641. The next prime is 31336157701. The reversal of 31336157664 is 46675163313.

31336157664 is a `hidden beast` number, since 3 + 13 + 3 + 6 + 1 + 576 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5857839 + ... + 5863185.

It is an arithmetic number, because the mean of its divisors is an integer number (244606824).

Almost surely, 2^31336157664 is an apocalyptic number.

31336157664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31336157664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58705637760).

31336157664 is an abundant number, since it is smaller than the sum of its proper divisors (86075117856).

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

31336157664 is a wasteful number, since it uses less digits than its factorization.

31336157664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5395 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 31336157664 in words is "thirty-one billion, three hundred thirty-six million, one hundred fifty-seven thousand, six hundred sixty-four".