317672291664 has 1200 divisors, whose sum is σ = 1265518501632. Its totient is φ = 74516226048.

The previous prime is 317672291623. The next prime is 317672291669. The reversal of 317672291664 is 466192276713.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 317672291664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317672291669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3827376967 + ... + 3827377049.

Almost surely, 2^317672291664 is an apocalyptic number.

317672291664 is a gapful number since it is divisible by the number (34) 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 317672291664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632759250816).

317672291664 is an abundant number, since it is smaller than the sum of its proper divisors (947846209968).

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

317672291664 is a wasteful number, since it uses less digits than its factorization.

317672291664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 148 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 317672291664 in words is "three hundred seventeen billion, six hundred seventy-two million, two hundred ninety-one thousand, six hundred sixty-four".