317946089952 has 144 divisors (see below), whose sum is σ = 910079089920. Its totient is φ = 105290255616.

The previous prime is 317946089933. The next prime is 317946090001. The reversal of 317946089952 is 259980649713.

317946089952 is a `hidden beast` number, since 3 + 1 + 7 + 9 + 460 + 89 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×317946089952² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 317946089952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30487363 + ... + 30497789.

It is an arithmetic number, because the mean of its divisors is an integer number (6319993680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅317946089952 = 635892179904, but 3⋅317946089952 = 953838269856 is not.

Almost surely, 2^317946089952 is an apocalyptic number.

317946089952 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 317946089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455039544960).

317946089952 is an abundant number, since it is smaller than the sum of its proper divisors (592132999968).

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

317946089952 is a wasteful number, since it uses less digits than its factorization.

317946089952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 317946089952 in words is "three hundred seventeen billion, nine hundred forty-six million, eighty-nine thousand, nine hundred fifty-two".