12315760926768 has 480 divisors, whose sum is σ = 41427829907520. Its totient is φ = 3479547248640.

The previous prime is 12315760926739. The next prime is 12315760926773. The reversal of 12315760926768 is 86762906751321.

12315760926768 is a `hidden beast` number, since 1 + 2 + 3 + 15 + 7 + 609 + 2 + 6 + 7 + 6 + 8 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 66451446 + ... + 66636522.

It is an arithmetic number, because the mean of its divisors is an integer number (86307978974).

Almost surely, 2^{12315760926768} is an apocalyptic number.

12315760926768 is a gapful number since it is divisible by the number (18) 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 12315760926768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20713914953760).

12315760926768 is an abundant number, since it is smaller than the sum of its proper divisors (29112068980752).

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

12315760926768 is a wasteful number, since it uses less digits than its factorization.

12315760926768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185182 (or 185153 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 12315760926768 in words is "twelve trillion, three hundred fifteen billion, seven hundred sixty million, nine hundred twenty-six thousand, seven hundred sixty-eight".