12633934600768 has 168 divisors, whose sum is σ = 27955735450368. Its totient is φ = 5659131598848.

The previous prime is 12633934600753. The next prime is 12633934600769. The reversal of 12633934600768 is 86700643933621.

It is not an unprimeable number, because it can be changed into a prime (12633934600769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72932305 + ... + 73105327.

Almost surely, 2^{12633934600768} 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 12633934600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977867725184).

12633934600768 is an abundant number, since it is smaller than the sum of its proper divisors (15321800849600).

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

12633934600768 is a wasteful number, since it uses less digits than its factorization.

12633934600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173261 (or 173238 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 58.

The spelling of 12633934600768 in words is "twelve trillion, six hundred thirty-three billion, nine hundred thirty-four million, six hundred thousand, seven hundred sixty-eight".