313768713488688 has 280 divisors, whose sum is σ = 916279861924800. Its totient is φ = 104038987272192.

The previous prime is 313768713488653. The next prime is 313768713488707. The reversal of 313768713488688 is 886884317867313.

313768713488688 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 6 + 8 + 71 + 3 + 488 + 68 + 8 = 666.

It is a super-2 number, since 2×313768713488688² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2589709006 + ... + 2589830162.

Almost surely, 2^{313768713488688} 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 313768713488688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458139930962400).

313768713488688 is an abundant number, since it is smaller than the sum of its proper divisors (602511148436112).

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

313768713488688 is a wasteful number, since it uses less digits than its factorization.

313768713488688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122351 (or 122330 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 81.

The spelling of 313768713488688 in words is "three hundred thirteen trillion, seven hundred sixty-eight billion, seven hundred thirteen million, four hundred eighty-eight thousand, six hundred eighty-eight".