6444759054409 has 9 divisors (see below), whose sum is σ = 6978680156469. Its totient is φ = 5948977894080.

The previous prime is 6444759054401. The next prime is 6444759054427. The reversal of 6444759054409 is 9044509574446.

The square root of 6444759054409 is 2538653.

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 277344423225 + 6167414631184 = 526635^2 + 2483428^2 .

It is not a de Polignac number, because 6444759054409 - 2³ = 6444759054401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6444759054401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32904849 + ... + 33100129.

Almost surely, 2^{6444759054409} is an apocalyptic number.

6444759054409 is the 2538653-rd square number.

6444759054409 is the 1269327-th centered octagonal number.

It is an amenable number.

6444759054409 is a deficient number, since it is larger than the sum of its proper divisors (533921102060).

6444759054409 is an frugal number, since it uses more digits than its factorization.

6444759054409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390588 (or 195294 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 6444759054409 in words is "six trillion, four hundred forty-four billion, seven hundred fifty-nine million, fifty-four thousand, four hundred nine".