12634383168 has 168 divisors, whose sum is σ = 39665208960. Its totient is φ = 3813212160.

The previous prime is 12634383103. The next prime is 12634383169. The reversal of 12634383168 is 86138343621.

12634383168 is a `hidden beast` number, since 1 + 2 + 634 + 3 + 8 + 3 + 1 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12634383169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624473 + ... + 1632231.

Almost surely, 2^12634383168 is an apocalyptic number.

12634383168 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 12634383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19832604480).

12634383168 is an abundant number, since it is smaller than the sum of its proper divisors (27030825792).

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

12634383168 is a wasteful number, since it uses less digits than its factorization.

12634383168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8032 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 12634383168 in words is "twelve billion, six hundred thirty-four million, three hundred eighty-three thousand, one hundred sixty-eight".