6338250528336 has 80 divisors (see below), whose sum is σ = 18202759948800. Its totient is φ = 2111631455232.

The previous prime is 6338250528331. The next prime is 6338250528361.

6338250528336 is a `hidden beast` number, since 6 + 3 + 3 + 8 + 250 + 52 + 8 + 336 = 666.

6338250528336 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338250528331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067456 + ... + 4699551.

It is an arithmetic number, because the mean of its divisors is an integer number (227534499360).

Almost surely, 2^{6338250528336} is an apocalyptic number.

It is an amenable number.

6338250528336 is an abundant number, since it is smaller than the sum of its proper divisors (11864509420464).

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

6338250528336 is a wasteful number, since it uses less digits than its factorization.

6338250528336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768913 (or 7768901 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 6338250528336 in words is "six trillion, three hundred thirty-eight billion, two hundred fifty million, five hundred twenty-eight thousand, three hundred thirty-six".