6338662228900 has 81 divisors (see below), whose sum is σ = 13829103761571. Its totient is φ = 2521859402880.

The previous prime is 6338662228817. The next prime is 6338662228903. The reversal of 6338662228900 is 98222668336.

The square root of 6338662228900 is 2517670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2209735764324 + 4128926464576 = 1486518^2 + 2031976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6338662228903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5614403536 + ... + 5614404664.

Almost surely, 2^{6338662228900} is an apocalyptic number.

6338662228900 is the 2517670-th square number.

It is an amenable number.

6338662228900 is an abundant number, since it is smaller than the sum of its proper divisors (7490441532671).

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

6338662228900 is an equidigital number, since it uses as much as digits as its factorization.

6338662228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 55.

The spelling of 6338662228900 in words is "six trillion, three hundred thirty-eight billion, six hundred sixty-two million, two hundred twenty-eight thousand, nine hundred".