313084345680 has 120 divisors (see below), whose sum is σ = 1087698273480. Its totient is φ = 80610216960.

The previous prime is 313084345643. The next prime is 313084345753. The reversal of 313084345680 is 86543480313.

313084345680 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 84 + 3 + 4 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 313067106576 = 4152^2 + 559524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7476351 + ... + 7518110.

It is an arithmetic number, because the mean of its divisors is an integer number (9064152279).

Almost surely, 2^313084345680 is an apocalyptic number.

313084345680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313084345680 is an abundant number, since it is smaller than the sum of its proper divisors (774613927800).

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

313084345680 is a wasteful number, since it uses less digits than its factorization.

313084345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994509 (or 14994500 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 3130843 and 45680, that added together give a cube (3176523 = 147³).

The spelling of 313084345680 in words is "three hundred thirteen billion, eighty-four million, three hundred forty-five thousand, six hundred eighty".