317124605952 has 1440 divisors, whose sum is σ = 1242098938080. Its totient is φ = 78829977600.

The previous prime is 317124605951. The next prime is 317124605957. The reversal of 317124605952 is 259506421713.

317124605952 is a `hidden beast` number, since 3 + 1 + 7 + 12 + 46 + 0 + 595 + 2 = 666.

It is a super-2 number, since 2×317124605952² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 317124605898 and 317124605907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317124605951) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5198764002 + ... + 5198764062.

It is an arithmetic number, because the mean of its divisors is an integer number (862568707).

Almost surely, 2^317124605952 is an apocalyptic number.

317124605952 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 317124605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621049469040).

317124605952 is an abundant number, since it is smaller than the sum of its proper divisors (924974332128).

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

317124605952 is a wasteful number, since it uses less digits than its factorization.

317124605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 317124605952 in words is "three hundred seventeen billion, one hundred twenty-four million, six hundred five thousand, nine hundred fifty-two".