12643024896 has 180 divisors, whose sum is σ = 36803894400. Its totient is φ = 4182048768.

The previous prime is 12643024873. The next prime is 12643024907. The reversal of 12643024896 is 69842034621.

12643024896 is a `hidden beast` number, since 1 + 264 + 302 + 4 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26394385 + ... + 26394863.

It is an arithmetic number, because the mean of its divisors is an integer number (204466080).

Almost surely, 2^12643024896 is an apocalyptic number.

12643024896 is a gapful number since it is divisible by the number (16) 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 12643024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18401947200).

12643024896 is an abundant number, since it is smaller than the sum of its proper divisors (24160869504).

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

12643024896 is an equidigital number, since it uses as much as digits as its factorization.

12643024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 663 counting only the distinct ones).

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

The spelling of 12643024896 in words is "twelve billion, six hundred forty-three million, twenty-four thousand, eight hundred ninety-six".