12917564123568 has 320 divisors, whose sum is σ = 36991934448000. Its totient is φ = 3882950922240.

The previous prime is 12917564123501. The next prime is 12917564123573. The reversal of 12917564123568 is 86532146571921.

It is a super-2 number, since 2×12917564123568² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958482846 + ... + 958496322.

It is an arithmetic number, because the mean of its divisors is an integer number (115599795150).

Almost surely, 2^{12917564123568} 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 12917564123568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495967224000).

12917564123568 is an abundant number, since it is smaller than the sum of its proper divisors (24074370324432).

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

12917564123568 is a wasteful number, since it uses less digits than its factorization.

12917564123568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13737 (or 13705 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 12917564123568 in words is "twelve trillion, nine hundred seventeen billion, five hundred sixty-four million, one hundred twenty-three thousand, five hundred sixty-eight".