12638868407648 has 72 divisors (see below), whose sum is σ = 28959623493192. Its totient is φ = 5413971032064.

The previous prime is 12638868407611. The next prime is 12638868407677. The reversal of 12638868407648 is 84670486883621.

12638868407648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12638868407648² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1164515 + ... + 5160797.

It is an arithmetic number, because the mean of its divisors is an integer number (402216992961).

Almost surely, 2^{12638868407648} 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 12638868407648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479811746596).

12638868407648 is an abundant number, since it is smaller than the sum of its proper divisors (16320755085544).

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

12638868407648 is a wasteful number, since it uses less digits than its factorization.

12638868407648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998324 (or 3998309 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 71.

The spelling of 12638868407648 in words is "twelve trillion, six hundred thirty-eight billion, eight hundred sixty-eight million, four hundred seven thousand, six hundred forty-eight".