313781604703760 has 320 divisors, whose sum is σ = 753047465877504. Its totient is φ = 121542388531200.

The previous prime is 313781604703759. The next prime is 313781604703793. The reversal of 313781604703760 is 67307406187313.

It is a junction number, because it is equal to n+sod(n) for n = 313781604703696 and 313781604703705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122714744402 + ... + 122714746958.

Almost surely, 2^{313781604703760} 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 313781604703760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376523732938752).

313781604703760 is an abundant number, since it is smaller than the sum of its proper divisors (439265861173744).

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

313781604703760 is a wasteful number, since it uses less digits than its factorization.

313781604703760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 56.

The spelling of 313781604703760 in words is "three hundred thirteen trillion, seven hundred eighty-one billion, six hundred four million, seven hundred three thousand, seven hundred sixty".