12633022934784 has 864 divisors, whose sum is σ = 45404737064960. Its totient is φ = 3296526336000.

The previous prime is 12633022934773. The next prime is 12633022934827. The reversal of 12633022934784 is 48743922033621.

It is a happy number.

12633022934784 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 302 + 293 + 47 + 8 + 4 = 666.

12633022934784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12633022934784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2631329184 + ... + 2631333984.

Almost surely, 2^{12633022934784} is an apocalyptic number.

12633022934784 is a gapful number since it is divisible by the number (14) 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 12633022934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702368532480).

12633022934784 is an abundant number, since it is smaller than the sum of its proper divisors (32771714130176).

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

12633022934784 is a wasteful number, since it uses less digits than its factorization.

12633022934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 12633022934784 in words is "twelve trillion, six hundred thirty-three billion, twenty-two million, nine hundred thirty-four thousand, seven hundred eighty-four".