317020459392 has 768 divisors, whose sum is σ = 1202258104320. Its totient is φ = 80890306560.

The previous prime is 317020459369. The next prime is 317020459463. The reversal of 317020459392 is 293954020713.

317020459392 is a `hidden beast` number, since 3 + 1 + 7 + 0 + 204 + 59 + 392 = 666.

It is a super-2 number, since 2×317020459392² (a number of 24 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87742578 + ... + 87746190.

It is an arithmetic number, because the mean of its divisors is an integer number (1565440240).

Almost surely, 2^317020459392 is an apocalyptic number.

317020459392 is a gapful number since it is divisible by the number (32) 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 317020459392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601129052160).

317020459392 is an abundant number, since it is smaller than the sum of its proper divisors (885237644928).

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

317020459392 is a wasteful number, since it uses less digits than its factorization.

317020459392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 317020459392 in words is "three hundred seventeen billion, twenty million, four hundred fifty-nine thousand, three hundred ninety-two".