317112304320 has 1680 divisors, whose sum is σ = 1464396420960. Its totient is φ = 64545030144.

The previous prime is 317112304309. The next prime is 317112304367. The reversal of 317112304320 is 23403211713.

It is a happy number.

317112304320 is a `hidden beast` number, since 31 + 7 + 1 + 1 + 2 + 304 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×317112304320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 410235454 + ... + 410236226.

Almost surely, 2^317112304320 is an apocalyptic number.

317112304320 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 317112304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732198210480).

317112304320 is an abundant number, since it is smaller than the sum of its proper divisors (1147284116640).

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

317112304320 is a wasteful number, since it uses less digits than its factorization.

317112304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 317112304320 in words is "three hundred seventeen billion, one hundred twelve million, three hundred four thousand, three hundred twenty".