317992172000 has 192 divisors, whose sum is σ = 807871034880. Its totient is φ = 122886144000.

The previous prime is 317992171997. The next prime is 317992172021. The reversal of 317992172000 is 271299713.

It is a super-4 number, since 4×317992172000⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87914192 + ... + 87917808.

It is an arithmetic number, because the mean of its divisors is an integer number (4207661640).

Almost surely, 2^317992172000 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 317992172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403935517440).

317992172000 is an abundant number, since it is smaller than the sum of its proper divisors (489878862880).

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

317992172000 is a wasteful number, since it uses less digits than its factorization.

317992172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The spelling of 317992172000 in words is "three hundred seventeen billion, nine hundred ninety-two million, one hundred seventy-two thousand".