12794403633102 has 256 divisors, whose sum is σ = 36803626352640. Its totient is φ = 3203883072000.

The previous prime is 12794403633079. The next prime is 12794403633127. The reversal of 12794403633102 is 20133630449721.

12794403633102 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 4 + 4 + 0 + 3 + 633 + 1 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7281352 + ... + 8866052.

It is an arithmetic number, because the mean of its divisors is an integer number (143764165440).

Almost surely, 2^{12794403633102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12794403633102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18401813176320).

12794403633102 is an abundant number, since it is smaller than the sum of its proper divisors (24009222719538).

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

12794403633102 is a wasteful number, since it uses less digits than its factorization.

12794403633102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584816 (or 1584810 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 12794403633102 in words is "twelve trillion, seven hundred ninety-four billion, four hundred three million, six hundred thirty-three thousand, one hundred two".