313638635264 has 72 divisors (see below), whose sum is σ = 643277950560. Its totient is φ = 152508469248.

The previous prime is 313638635263. The next prime is 313638635309. The reversal of 313638635264 is 462536836313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313638635263) 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 7 ways as a sum of consecutive naturals, for example, 23701802 + ... + 23715030.

It is an arithmetic number, because the mean of its divisors is an integer number (8934415980).

Almost surely, 2^313638635264 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 313638635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321638975280).

313638635264 is an abundant number, since it is smaller than the sum of its proper divisors (329639315296).

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

313638635264 is a wasteful number, since it uses less digits than its factorization.

313638635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15771 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 50.

The spelling of 313638635264 in words is "three hundred thirteen billion, six hundred thirty-eight million, six hundred thirty-five thousand, two hundred sixty-four".