313058680704 has 1344 divisors, whose sum is σ = 1249080225120. Its totient is φ = 76202311680.

The previous prime is 313058680661. The next prime is 313058680717. The reversal of 313058680704 is 407086850313.

313058680704 is a `hidden beast` number, since 31 + 30 + 586 + 8 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 313058680704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1343599372 + ... + 1343599604.

Almost surely, 2^313058680704 is an apocalyptic number.

313058680704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313058680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624540112560).

313058680704 is an abundant number, since it is smaller than the sum of its proper divisors (936021544416).

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

313058680704 is a wasteful number, since it uses less digits than its factorization.

313058680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 313058680704 in words is "three hundred thirteen billion, fifty-eight million, six hundred eighty thousand, seven hundred four".