8317934515968 has 864 divisors, whose sum is σ = 28517198992128. Its totient is φ = 2128173465600.

The previous prime is 8317934515949. The next prime is 8317934516041. The reversal of 8317934515968 is 8695154397138.

It is a super-2 number, since 2×8317934515968² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8513750296 + ... + 8513751272.

It is an arithmetic number, because the mean of its divisors is an integer number (33006017352).

Almost surely, 2^{8317934515968} is an apocalyptic number.

8317934515968 is a gapful number since it is divisible by the number (88) 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 8317934515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258599496064).

8317934515968 is an abundant number, since it is smaller than the sum of its proper divisors (20199264476160).

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

8317934515968 is a wasteful number, since it uses less digits than its factorization.

8317934515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1288 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 69.

The spelling of 8317934515968 in words is "eight trillion, three hundred seventeen billion, nine hundred thirty-four million, five hundred fifteen thousand, nine hundred sixty-eight".