317138766672 has 240 divisors, whose sum is σ = 1039344311040. Its totient is φ = 82581617664.

The previous prime is 317138766643. The next prime is 317138766739. The reversal of 317138766672 is 276667831713.

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

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 47 ways as a sum of consecutive naturals, for example, 2349858 + ... + 2481150.

It is an arithmetic number, because the mean of its divisors is an integer number (4330601296).

Almost surely, 2^317138766672 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 317138766672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519672155520).

317138766672 is an abundant number, since it is smaller than the sum of its proper divisors (722205544368).

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

317138766672 is a wasteful number, since it uses less digits than its factorization.

317138766672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131410 (or 131397 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The spelling of 317138766672 in words is "three hundred seventeen billion, one hundred thirty-eight million, seven hundred sixty-six thousand, six hundred seventy-two".