6338538358336 has 28 divisors (see below), whose sum is σ = 12578117037772. Its totient is φ = 3169249026048.

The previous prime is 6338538358319. The next prime is 6338538358391.

It is a happy number.

6338538358336 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 87938343936 + 6250600014400 = 296544^2 + 2500120^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19295236 + ... + 19620988.

Almost surely, 2^{6338538358336} is an apocalyptic number.

It is an amenable number.

6338538358336 is a deficient number, since it is larger than the sum of its proper divisors (6239578679436).

6338538358336 is a wasteful number, since it uses less digits than its factorization.

6338538358336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629798 (or 629788 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 64.

The spelling of 6338538358336 in words is "six trillion, three hundred thirty-eight billion, five hundred thirty-eight million, three hundred fifty-eight thousand, three hundred thirty-six".