12794393644344 has 1024 divisors, whose sum is σ = 43737200640000. Its totient is φ = 3426864537600.

The previous prime is 12794393644289. The next prime is 12794393644367. The reversal of 12794393644344 is 44344639349721.

12794393644344 is a `hidden beast` number, since 1 + 2 + 7 + 94 + 39 + 36 + 443 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2925768142 + ... + 2925772514.

It is an arithmetic number, because the mean of its divisors is an integer number (42712110000).

Almost surely, 2^{12794393644344} 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 12794393644344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868600320000).

12794393644344 is an abundant number, since it is smaller than the sum of its proper divisors (30942806995656).

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

12794393644344 is a wasteful number, since it uses less digits than its factorization.

12794393644344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4531 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 63.

The spelling of 12794393644344 in words is "twelve trillion, seven hundred ninety-four billion, three hundred ninety-three million, six hundred forty-four thousand, three hundred forty-four".