317320513044480 has 4800 divisors, whose sum is σ = 1381929990819840. Its totient is φ = 69370380288000.

The previous prime is 317320513044467. The next prime is 317320513044497. The reversal of 317320513044480 is 84440315023713.

It is a happy number.

317320513044480 is a `hidden beast` number, since 3 + 1 + 7 + 32 + 0 + 5 + 130 + 4 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 5201975623650 + ... + 5201975623710.

Almost surely, 2^{317320513044480} is an apocalyptic number.

317320513044480 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 317320513044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690964995409920).

317320513044480 is an abundant number, since it is smaller than the sum of its proper divisors (1064609477775360).

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

317320513044480 is an equidigital number, since it uses as much as digits as its factorization.

317320513044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 317320513044480 in words is "three hundred seventeen trillion, three hundred twenty billion, five hundred thirteen million, forty-four thousand, four hundred eighty".