317053690890048 has 3136 divisors, whose sum is σ = 1218558915379200. Its totient is φ = 81478172160000.

The previous prime is 317053690890047. The next prime is 317053690890073. The reversal of 317053690890048 is 840098096350713.

317053690890048 is a `hidden beast` number, since 3 + 1 + 7 + 0 + 536 + 9 + 0 + 8 + 90 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3136).

It is a super-2 number, since 2×317053690890048² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317053690890047) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 422175353673 + ... + 422175354423.

Almost surely, 2^{317053690890048} 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 317053690890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609279457689600).

317053690890048 is an abundant number, since it is smaller than the sum of its proper divisors (901505224489152).

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

317053690890048 is an equidigital number, since it uses as much as digits as its factorization.

317053690890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 317053690890048 in words is "three hundred seventeen trillion, fifty-three billion, six hundred ninety million, eight hundred ninety thousand, forty-eight".