317472261120 has 1056 divisors, whose sum is σ = 1316485767168. Its totient is φ = 69227053056.

The previous prime is 317472261109. The next prime is 317472261131. The reversal of 317472261120 is 21162274713.

317472261120 is a `hidden beast` number, since 3 + 1 + 7 + 472 + 2 + 61 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (317472261109) and next prime (317472261131).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 651893517 + ... + 651894003.

It is an arithmetic number, because the mean of its divisors is an integer number (1246672128).

Almost surely, 2^317472261120 is an apocalyptic number.

317472261120 is a gapful number since it is divisible by the number (30) 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 317472261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658242883584).

317472261120 is an abundant number, since it is smaller than the sum of its proper divisors (999013506048).

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

317472261120 is a wasteful number, since it uses less digits than its factorization.

317472261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 317472261120 in words is "three hundred seventeen billion, four hundred seventy-two million, two hundred sixty-one thousand, one hundred twenty".