31346585064 has 128 divisors (see below), whose sum is σ = 88516800000. Its totient is φ = 10276740864.

The previous prime is 31346585057. The next prime is 31346585089. The reversal of 31346585064 is 46058564313.

31346585064 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 6 + 585 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4586802 + ... + 4593630.

It is an arithmetic number, because the mean of its divisors is an integer number (691537500).

Almost surely, 2^31346585064 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 31346585064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44258400000).

31346585064 is an abundant number, since it is smaller than the sum of its proper divisors (57170214936).

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

31346585064 is a wasteful number, since it uses less digits than its factorization.

31346585064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7182 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 31346585064 in words is "thirty-one billion, three hundred forty-six million, five hundred eighty-five thousand, sixty-four".