8268000838344 has 112 divisors (see below), whose sum is σ = 25031052150300. Its totient is φ = 2544000234624.

The previous prime is 8268000838333. The next prime is 8268000838369. The reversal of 8268000838344 is 4438380008628.

8268000838344 is a `hidden beast` number, since 8 + 268 + 0 + 0 + 0 + 8 + 38 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8267568614244 + 432224100 = 2875338^2 + 20790^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54450939 + ... + 54602570.

Almost surely, 2^{8268000838344} is an apocalyptic number.

It is an amenable number.

8268000838344 is an abundant number, since it is smaller than the sum of its proper divisors (16763051311956).

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

8268000838344 is a wasteful number, since it uses less digits than its factorization.

8268000838344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109053546 (or 109053527 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 8268000838344 in words is "eight trillion, two hundred sixty-eight billion, eight hundred thirty-eight thousand, three hundred forty-four".