317248093393920 has 2112 divisors, whose sum is σ = 1279773275848704. Its totient is φ = 74826848010240.

The previous prime is 317248093393811. The next prime is 317248093393943. The reversal of 317248093393920 is 29393390842713.

317248093393920 is a `hidden beast` number, since 3 + 1 + 7 + 2 + 480 + 93 + 39 + 39 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51643834369 + ... + 51643840511.

Almost surely, 2^{317248093393920} is an apocalyptic number.

317248093393920 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 317248093393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639886637924352).

317248093393920 is an abundant number, since it is smaller than the sum of its proper divisors (962525182454784).

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

317248093393920 is a wasteful number, since it uses less digits than its factorization.

317248093393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 317248093393920 in words is "three hundred seventeen trillion, two hundred forty-eight billion, ninety-three million, three hundred ninety-three thousand, nine hundred twenty".