6444444442005 has 24 divisors (see below), whose sum is σ = 11171063674680. Its totient is φ = 3436823710080.

The previous prime is 6444444441991. The next prime is 6444444442013. The reversal of 6444444442005 is 5002444444446.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2005897192209 + 4438547249796 = 1416297^2 + 2106786^2 .

It is not a de Polignac number, because 6444444442005 - 2⁴ = 6444444441989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3709870 + ... + 5162559.

It is an arithmetic number, because the mean of its divisors is an integer number (465460986445).

Almost surely, 2^{6444444442005} is an apocalyptic number.

It is an amenable number.

6444444442005 is a deficient number, since it is larger than the sum of its proper divisors (4726619232675).

6444444442005 is a wasteful number, since it uses less digits than its factorization.

6444444442005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888581 (or 8888578 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 45.

The spelling of 6444444442005 in words is "six trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-two thousand, five".