12634538112 has 672 divisors, whose sum is σ = 46610066880. Its totient is φ = 3333851136.

The previous prime is 12634538099. The next prime is 12634538123. The reversal of 12634538112 is 21183543621.

12634538112 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 538 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 435673714 + ... + 435673742.

Almost surely, 2^12634538112 is an apocalyptic number.

12634538112 is a gapful number since it is divisible by the number (12) 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 12634538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23305033440).

12634538112 is an abundant number, since it is smaller than the sum of its proper divisors (33975528768).

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

12634538112 is an frugal number, since it uses more digits than its factorization.

12634538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12634538112 in words is "twelve billion, six hundred thirty-four million, five hundred thirty-eight thousand, one hundred twelve".