317338743790944 has 960 divisors, whose sum is σ = 996478511212800. Its totient is φ = 98916429201408.

The previous prime is 317338743790889. The next prime is 317338743790951. The reversal of 317338743790944 is 449097347833713.

317338743790944 is a `hidden beast` number, since 3 + 1 + 73 + 3 + 87 + 437 + 9 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×317338743790944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83664312312 + ... + 83664316104.

It is an arithmetic number, because the mean of its divisors is an integer number (1037998449180).

Almost surely, 2^{317338743790944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317338743790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498239255606400).

317338743790944 is an abundant number, since it is smaller than the sum of its proper divisors (679139767421856).

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

317338743790944 is a wasteful number, since it uses less digits than its factorization.

317338743790944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 317338743790944 in words is "three hundred seventeen trillion, three hundred thirty-eight billion, seven hundred forty-three million, seven hundred ninety thousand, nine hundred forty-four".