12864642648 has 256 divisors, whose sum is σ = 38958796800. Its totient is φ = 3488002560.

The previous prime is 12864642631. The next prime is 12864642733. The reversal of 12864642648 is 84624646821.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12864642648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26415861 + ... + 26416347.

It is an arithmetic number, because the mean of its divisors is an integer number (152182800).

Almost surely, 2^12864642648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12864642648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479398400).

12864642648 is an abundant number, since it is smaller than the sum of its proper divisors (26094154152).

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

12864642648 is a wasteful number, since it uses less digits than its factorization.

12864642648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The spelling of 12864642648 in words is "twelve billion, eight hundred sixty-four million, six hundred forty-two thousand, six hundred forty-eight".