168317398656 has 512 divisors, whose sum is σ = 560776089600. Its totient is φ = 49877130240.

The previous prime is 168317398651. The next prime is 168317398661. The reversal of 168317398656 is 656893713861.

168317398656 is a `hidden beast` number, since 168 + 31 + 7 + 398 + 6 + 56 = 666.

168317398656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168317398651) and next prime (168317398661).

It is a junction number, because it is equal to n+sod(n) for n = 168317398593 and 168317398602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168317398651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144726331 + ... + 144727493.

It is an arithmetic number, because the mean of its divisors is an integer number (1095265800).

Almost surely, 2^168317398656 is an apocalyptic number.

168317398656 is a gapful number since it is divisible by the number (16) 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 168317398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280388044800).

168317398656 is an abundant number, since it is smaller than the sum of its proper divisors (392458690944).

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

168317398656 is an equidigital number, since it uses as much as digits as its factorization.

168317398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1226 counting only the distinct ones).

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

The spelling of 168317398656 in words is "one hundred sixty-eight billion, three hundred seventeen million, three hundred ninety-eight thousand, six hundred fifty-six".