317473242912 has 960 divisors, whose sum is σ = 1180884418560. Its totient is φ = 81629337600.

The previous prime is 317473242869. The next prime is 317473242913. The reversal of 317473242912 is 219242374713.

317473242912 is a `hidden beast` number, since 31 + 7 + 4 + 7 + 324 + 291 + 2 = 666.

It is a super-3 number, since 3×317473242912³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (317473242913) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 651895533 + ... + 651896019.

It is an arithmetic number, because the mean of its divisors is an integer number (1230087936).

Almost surely, 2^317473242912 is an apocalyptic number.

317473242912 is a gapful number since it is divisible by the number (32) 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 317473242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590442209280).

317473242912 is an abundant number, since it is smaller than the sum of its proper divisors (863411175648).

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

317473242912 is a wasteful number, since it uses less digits than its factorization.

317473242912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 317473242912 in words is "three hundred seventeen billion, four hundred seventy-three million, two hundred forty-two thousand, nine hundred twelve".