317625090048 has 840 divisors, whose sum is σ = 1134598006080. Its totient is φ = 86951854080.

The previous prime is 317625090011. The next prime is 317625090053. The reversal of 317625090048 is 840090526713.

317625090048 is a `hidden beast` number, since 3 + 17 + 625 + 0 + 9 + 0 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 317625089985 and 317625090012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2424618943 + ... + 2424619073.

It is an arithmetic number, because the mean of its divisors is an integer number (1350711912).

It is a 1-persistent number, because it is pandigital, but 2⋅317625090048 = 635250180096 is not.

Almost surely, 2^317625090048 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 317625090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567299003040).

317625090048 is an abundant number, since it is smaller than the sum of its proper divisors (816972916032).

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

317625090048 is an frugal number, since it uses more digits than its factorization.

317625090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 317625090048 in words is "three hundred seventeen billion, six hundred twenty-five million, ninety thousand, forty-eight".