316314463131600 has 120 divisors (see below), whose sum is σ = 1048200686561760. Its totient is φ = 81441884751360.

The previous prime is 316314463131599. The next prime is 316314463131617. The reversal of 316314463131600 is 6131364413613.

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

It is a super-4 number, since 4×316314463131600⁴ (a number of 59 digits) contains 4444 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4544713234 + ... + 4544782833.

It is an arithmetic number, because the mean of its divisors is an integer number (8735005721348).

Almost surely, 2^{316314463131600} is an apocalyptic number.

316314463131600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316314463131600 is an abundant number, since it is smaller than the sum of its proper divisors (731886223430160).

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

316314463131600 is a wasteful number, since it uses less digits than its factorization.

316314463131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089496117 (or 9089496106 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 316314463131600 in words is "three hundred sixteen trillion, three hundred fourteen billion, four hundred sixty-three million, one hundred thirty-one thousand, six hundred".