316461308304960 has 4032 divisors, whose sum is σ = 1536699312046080. Its totient is φ = 61209506856960.

The previous prime is 316461308304887. The next prime is 316461308304983. The reversal of 316461308304960 is 69403803164613.

316461308304960 is a `hidden beast` number, since 3 + 1 + 6 + 46 + 1 + 30 + 83 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 = 316461308304897 and 316461308304906.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29175002257 + ... + 29175013103.

It is an arithmetic number, because the mean of its divisors is an integer number (381125821440).

Almost surely, 2^{316461308304960} is an apocalyptic number.

316461308304960 is a gapful number since it is divisible by the number (30) 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 316461308304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768349656023040).

316461308304960 is an abundant number, since it is smaller than the sum of its proper divisors (1220238003741120).

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

316461308304960 is a wasteful number, since it uses less digits than its factorization.

316461308304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 316461308304960 in words is "three hundred sixteen trillion, four hundred sixty-one billion, three hundred eight million, three hundred four thousand, nine hundred sixty".