3144646089225 has 135 divisors (see below), whose sum is σ = 5885758508421. Its totient is φ = 1659822840000.

The previous prime is 3144646089217. The next prime is 3144646089239. The reversal of 3144646089225 is 5229806464413.

The square root of 3144646089225 is 1773315.

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

3144646089225 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 6 + 4 + 608 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 380327523849 + 2764318565376 = 616707^2 + 1662624^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3144646089225 - 2³ = 3144646089217 is a prime.

It is a super-2 number, since 2×3144646089225² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12528470350 + ... + 12528470600.

Almost surely, 2^{3144646089225} is an apocalyptic number.

3144646089225 is the 1773315-th square number.

3144646089225 is the 886658-th centered octagonal number.

It is an amenable number.

3144646089225 is a deficient number, since it is larger than the sum of its proper divisors (2741112419196).

3144646089225 is an frugal number, since it uses more digits than its factorization.

3144646089225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3144646089225 in words is "three trillion, one hundred forty-four billion, six hundred forty-six million, eighty-nine thousand, two hundred twenty-five".