317249141664 has 576 divisors, whose sum is σ = 1059856358400. Its totient is φ = 81329504256.

The previous prime is 317249141609. The next prime is 317249141749. The reversal of 317249141664 is 466141942713.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 757157647 + ... + 757158065.

It is an arithmetic number, because the mean of its divisors is an integer number (1840028400).

Almost surely, 2^317249141664 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 317249141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529928179200).

317249141664 is an abundant number, since it is smaller than the sum of its proper divisors (742607216736).

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

317249141664 is a wasteful number, since it uses less digits than its factorization.

317249141664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 317249141664 in words is "three hundred seventeen billion, two hundred forty-nine million, one hundred forty-one thousand, six hundred sixty-four".