1444479478225 has 81 divisors (see below), whose sum is σ = 2179577322993. Its totient is φ = 946800402240.

The previous prime is 1444479478177. The next prime is 1444479478291. The reversal of 1444479478225 is 5228749744441.

The square root of 1444479478225 is 1201865.

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 109678205329 + 1334801272896 = 331177^2 + 1155336^2 .

It is not a de Polignac number, because 1444479478225 - 2¹¹ = 1444479476177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 967500579 + ... + 967502071.

Almost surely, 2^{1444479478225} is an apocalyptic number.

1444479478225 is the 1201865-th square number.

1444479478225 is the 600933-rd centered octagonal number.

It is an amenable number.

1444479478225 is a deficient number, since it is larger than the sum of its proper divisors (735097844768).

1444479478225 is an frugal number, since it uses more digits than its factorization.

1444479478225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 1528 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 61.

The spelling of 1444479478225 in words is "one trillion, four hundred forty-four billion, four hundred seventy-nine million, four hundred seventy-eight thousand, two hundred twenty-five".