6339815374201 has 27 divisors (see below), whose sum is σ = 6771624526701. Its totient is φ = 5934667799808.

The previous prime is 6339815374199. The next prime is 6339815374237. The reversal of 6339815374201 is 1024735189336.

The square root of 6339815374201 is 2517899.

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 2237570214201 + 4102245160000 = 1495851^2 + 2025400^2 .

It is not a de Polignac number, because 6339815374201 - 2¹ = 6339815374199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6339815374301) 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 26 ways as a sum of consecutive naturals, for example, 4257766465 + ... + 4257767953.

It is a 1-persistent number, because it is pandigital, but 2⋅6339815374201 = 12679630748402 is not.

Almost surely, 2^{6339815374201} is an apocalyptic number.

6339815374201 is the 2517899-th square number.

6339815374201 is the 1258950-th centered octagonal number.

It is an amenable number.

6339815374201 is a deficient number, since it is larger than the sum of its proper divisors (431809152500).

6339815374201 is an frugal number, since it uses more digits than its factorization.

6339815374201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 6339815374201 in words is "six trillion, three hundred thirty-nine billion, eight hundred fifteen million, three hundred seventy-four thousand, two hundred one".