313633330164 has 144 divisors (see below), whose sum is σ = 998017413120. Its totient is φ = 80672224320.

The previous prime is 313633330139. The next prime is 313633330177. The reversal of 313633330164 is 461033336313.

313633330164 is a `hidden beast` number, since 3 + 1 + 3 + 633 + 3 + 3 + 0 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263724 + ... + 834755.

It is an arithmetic number, because the mean of its divisors is an integer number (6930676480).

Almost surely, 2^313633330164 is an apocalyptic number.

It is an amenable number.

313633330164 is an abundant number, since it is smaller than the sum of its proper divisors (684384082956).

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

313633330164 is a wasteful number, since it uses less digits than its factorization.

313633330164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098610 (or 1098605 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

Adding to 313633330164 its reverse (461033336313), we get a palindrome (774666666477).

The spelling of 313633330164 in words is "three hundred thirteen billion, six hundred thirty-three million, three hundred thirty thousand, one hundred sixty-four".