6444880910329 has 15 divisors (see below), whose sum is σ = 6603139687103. Its totient is φ = 6290415108264.

The previous prime is 6444880910287. The next prime is 6444880910333. The reversal of 6444880910329 is 9230190884446.

The square root of 6444880910329 is 2538677.

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

It can be written as a sum of positive squares in only one way, i.e., 6369995493225 + 74885417104 = 2523885^2 + 273652^2 .

It is not a de Polignac number, because 6444880910329 - 2¹¹ = 6444880908281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6444880910029) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4694013087 + ... + 4694014459.

Almost surely, 2^{6444880910329} is an apocalyptic number.

6444880910329 is the 2538677-th square number.

6444880910329 is the 1269339-th centered octagonal number.

It is an amenable number.

6444880910329 is a deficient number, since it is larger than the sum of its proper divisors (158258776774).

6444880910329 is an frugal number, since it uses more digits than its factorization.

6444880910329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 6444880910329 in words is "six trillion, four hundred forty-four billion, eight hundred eighty million, nine hundred ten thousand, three hundred twenty-nine".