66144124225 has 9 divisors (see below), whose sum is σ = 82020308617. Its totient is φ = 52914270640.

The previous prime is 66144124187. The next prime is 66144124261. The reversal of 66144124225 is 52242144166.

The square root of 66144124225 is 257185.

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 13875190849 + 52268933376 = 117793^2 + 228624^2 .

It is not a de Polignac number, because 66144124225 - 2⁷ = 66144124097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1260207 + ... + 1311643.

Almost surely, 2^66144124225 is an apocalyptic number.

66144124225 is the 257185-th square number.

66144124225 is the 128593-rd centered octagonal number.

It is an amenable number.

66144124225 is a deficient number, since it is larger than the sum of its proper divisors (15876184392).

66144124225 is an frugal number, since it uses more digits than its factorization.

66144124225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102884 (or 51442 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The spelling of 66144124225 in words is "sixty-six billion, one hundred forty-four million, one hundred twenty-four thousand, two hundred twenty-five".