12645838008 has 192 divisors, whose sum is σ = 37504827360. Its totient is φ = 3833561088.

The previous prime is 12645837979. The next prime is 12645838013. The reversal of 12645838008 is 80083854621.

12645838008 is a `hidden beast` number, since 1 + 2 + 64 + 583 + 8 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5104066 + ... + 5106542.

Almost surely, 2^12645838008 is an apocalyptic number.

12645838008 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 12645838008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18752413680).

12645838008 is an abundant number, since it is smaller than the sum of its proper divisors (24858989352).

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

12645838008 is a wasteful number, since it uses less digits than its factorization.

12645838008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12645838008 in words is "twelve billion, six hundred forty-five million, eight hundred thirty-eight thousand, eight".