313345504163040 has 96 divisors (see below), whose sum is σ = 1038987724360320. Its totient is φ = 79160969470464.

The previous prime is 313345504163023. The next prime is 313345504163063. The reversal of 313345504163040 is 40361405543313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 313345504162983 and 313345504163001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17179020714 + ... + 17179038953.

It is an arithmetic number, because the mean of its divisors is an integer number (10822788795420).

Almost surely, 2^{313345504163040} is an apocalyptic number.

313345504163040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313345504163040 is an abundant number, since it is smaller than the sum of its proper divisors (725642220197280).

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

313345504163040 is a wasteful number, since it uses less digits than its factorization.

313345504163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34358059704 (or 34358059696 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 313345504163040 in words is "three hundred thirteen trillion, three hundred forty-five billion, five hundred four million, one hundred sixty-three thousand, forty".