317104760613120 has 288 divisors, whose sum is σ = 1015203348432000. Its totient is φ = 84356774756352.

The previous prime is 317104760613101. The next prime is 317104760613131. The reversal of 317104760613120 is 21316067401713.

It is a super-2 number, since 2×317104760613120² (a number of 30 digits) contains 22 as substring.

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, 10988057251 + ... + 10988086109.

It is an arithmetic number, because the mean of its divisors is an integer number (3525011626500).

Almost surely, 2^{317104760613120} is an apocalyptic number.

317104760613120 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 317104760613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507601674216000).

317104760613120 is an abundant number, since it is smaller than the sum of its proper divisors (698098587818880).

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

317104760613120 is a wasteful number, since it uses less digits than its factorization.

317104760613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35705 (or 35691 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 317104760613120 in words is "three hundred seventeen trillion, one hundred four billion, seven hundred sixty million, six hundred thirteen thousand, one hundred twenty".