2144130561225 has 243 divisors, whose sum is σ = 4115900641671. Its totient is φ = 1066936622400.

The previous prime is 2144130561203. The next prime is 2144130561239. The reversal of 2144130561225 is 5221650314412.

The square root of 2144130561225 is 1464285.

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

2144130561225 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 1 + 30 + 5 + 612 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 771887002041 + 1372243559184 = 878571^2 + 1171428^2 .

It is not a de Polignac number, because 2144130561225 - 2¹⁵ = 2144130528457 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2144130561225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 32001948642 + ... + 32001948708.

Almost surely, 2^{2144130561225} is an apocalyptic number.

2144130561225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2144130561225 is the 1464285-th square number.

2144130561225 is the 732143-rd centered octagonal number.

It is an amenable number.

2144130561225 is a deficient number, since it is larger than the sum of its proper divisors (1971770080446).

2144130561225 is an equidigital number, since it uses as much as digits as its factorization.

2144130561225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 2144130561225 by its sum of digits (36), we get a square (77188700204100 = 8785710²).

Adding to 2144130561225 its reverse (5221650314412), we get a palindrome (7365780875637).

The spelling of 2144130561225 in words is "two trillion, one hundred forty-four billion, one hundred thirty million, five hundred sixty-one thousand, two hundred twenty-five".