12468843395424 has 576 divisors, whose sum is σ = 40792307512320. Its totient is φ = 3583448985600.

The previous prime is 12468843395419. The next prime is 12468843395441. The reversal of 12468843395424 is 42459334886421.

12468843395424 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 8 + 84 + 3 + 3 + 9 + 542 + 4 = 666.

12468843395424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767163682 + ... + 767179934.

It is an arithmetic number, because the mean of its divisors is an integer number (70819978320).

Almost surely, 2^{12468843395424} 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 12468843395424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396153756160).

12468843395424 is an abundant number, since it is smaller than the sum of its proper divisors (28323464116896).

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

12468843395424 is a wasteful number, since it uses less digits than its factorization.

12468843395424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16515 (or 16504 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 12468843395424 in words is "twelve trillion, four hundred sixty-eight billion, eight hundred forty-three million, three hundred ninety-five thousand, four hundred twenty-four".