6444100350205 has 12 divisors (see below), whose sum is σ = 8995438040220. Its totient is φ = 4418811668544.

The previous prime is 6444100350197. The next prime is 6444100350209. The reversal of 6444100350205 is 5020530014446.

It can be written as a sum of positive squares in 2 ways, for example, as 4522755062329 + 1921345287876 = 2126677^2 + 1386126^2 .

It is not a de Polignac number, because 6444100350205 - 2³ = 6444100350197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444100350209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13151224960 + ... + 13151225449.

It is an arithmetic number, because the mean of its divisors is an integer number (749619836685).

Almost surely, 2^{6444100350205} is an apocalyptic number.

It is an amenable number.

6444100350205 is a deficient number, since it is larger than the sum of its proper divisors (2551337690015).

6444100350205 is a wasteful number, since it uses less digits than its factorization.

6444100350205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26302450428 (or 26302450421 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 6444100350205 in words is "six trillion, four hundred forty-four billion, one hundred million, three hundred fifty thousand, two hundred five".