313537620704 has 192 divisors, whose sum is σ = 776750446080. Its totient is φ = 121025249280.

The previous prime is 313537620691. The next prime is 313537620709. The reversal of 313537620704 is 407026735313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313537620709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320918264 + ... + 320919240.

It is an arithmetic number, because the mean of its divisors is an integer number (4045575240).

Almost surely, 2^313537620704 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 313537620704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388375223040).

313537620704 is an abundant number, since it is smaller than the sum of its proper divisors (463212825376).

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

313537620704 is a wasteful number, since it uses less digits than its factorization.

313537620704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 41.

The spelling of 313537620704 in words is "three hundred thirteen billion, five hundred thirty-seven million, six hundred twenty thousand, seven hundred four".