316361625406560 has 192 divisors, whose sum is σ = 1111044757152960. Its totient is φ = 84075171102720.

The previous prime is 316361625406543. The next prime is 316361625406601. The reversal of 316361625406560 is 65604526163613.

316361625406560 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 6 + 1 + 625 + 4 + 0 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 316361625406497 and 316361625406506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123703281 + ... + 126234800.

It is an arithmetic number, because the mean of its divisors is an integer number (5786691443505).

Almost surely, 2^{316361625406560} is an apocalyptic number.

316361625406560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316361625406560 is an abundant number, since it is smaller than the sum of its proper divisors (794683131746400).

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

316361625406560 is a wasteful number, since it uses less digits than its factorization.

316361625406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249938398 (or 249938384 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 316361625406560 in words is "three hundred sixteen trillion, three hundred sixty-one billion, six hundred twenty-five million, four hundred six thousand, five hundred sixty".