11656441225 has 81 divisors (see below), whose sum is σ = 17318245077. Its totient is φ = 7773480000.

The previous prime is 11656441207. The next prime is 11656441267. The reversal of 11656441225 is 52214465611.

The square root of 11656441225 is 107965.

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 3004464969 + 8651976256 = 54813^2 + 93016^2 .

It is not a de Polignac number, because 11656441225 - 2⁹ = 11656440713 is a prime.

It is a Duffinian number.

Its product of digits (57600) is a multiple of the sum of its prime divisors (180).

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, 77194900 + ... + 77195050.

Almost surely, 2^11656441225 is an apocalyptic number.

11656441225 is the 107965-th square number.

11656441225 is the 53983-rd centered octagonal number.

It is an amenable number.

11656441225 is a deficient number, since it is larger than the sum of its proper divisors (5661803852).

11656441225 is a wasteful number, since it uses less digits than its factorization.

11656441225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

Multiplying 11656441225 by its product of digits (57600), we get a square (671411014560000 = 25911600²).

The spelling of 11656441225 in words is "eleven billion, six hundred fifty-six million, four hundred forty-one thousand, two hundred twenty-five".