317322864144 has 1680 divisors, whose sum is σ = 1249219044864. Its totient is φ = 76590489600.

The previous prime is 317322864119. The next prime is 317322864151. The reversal of 317322864144 is 441468223713.

317322864144 is a `hidden beast` number, since 3 + 1 + 7 + 3 + 228 + 6 + 414 + 4 = 666.

Its product of digits (774144) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 317322864144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10236221409 + ... + 10236221439.

Almost surely, 2^317322864144 is an apocalyptic number.

317322864144 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 317322864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624609522432).

317322864144 is an abundant number, since it is smaller than the sum of its proper divisors (931896180720).

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

317322864144 is a wasteful number, since it uses less digits than its factorization.

317322864144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 317322864144 in words is "three hundred seventeen billion, three hundred twenty-two million, eight hundred sixty-four thousand, one hundred forty-four".