12934561595328 has 224 divisors, whose sum is σ = 38108670462720. Its totient is φ = 4302068198400.

The previous prime is 12934561595297. The next prime is 12934561595401. The reversal of 12934561595328 is 82359516543921.

12934561595328 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 4 + 5 + 6 + 1 + 595 + 32 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1970827375 + ... + 1970833937.

Almost surely, 2^{12934561595328} is an apocalyptic number.

12934561595328 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 12934561595328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054335231360).

12934561595328 is an abundant number, since it is smaller than the sum of its proper divisors (25174108867392).

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

12934561595328 is a wasteful number, since it uses less digits than its factorization.

12934561595328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8896 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 12934561595328 in words is "twelve trillion, nine hundred thirty-four billion, five hundred sixty-one million, five hundred ninety-five thousand, three hundred twenty-eight".