6656112225 has 225 divisors, whose sum is σ = 14782717257. Its totient is φ = 2960556480.

The previous prime is 6656112179. The next prime is 6656112233. The reversal of 6656112225 is 5222116566.

The square root of 6656112225 is 81585.

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

6656112225 is a `hidden beast` number, since 66 + 561 + 12 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 631868769 + 6024243456 = 25137^2 + 77616^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 6656112225 - 2⁹ = 6656111713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6656112225.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 179894907 + ... + 179894943.

Almost surely, 2^6656112225 is an apocalyptic number.

6656112225 is the 81585-th square number.

6656112225 is the 40793-rd centered octagonal number.

It is an amenable number.

6656112225 is an abundant number, since it is smaller than the sum of its proper divisors (8126605032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6656112225 is an frugal number, since it uses more digits than its factorization.

6656112225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 52 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 6656112225 is about 1881.0783221739.

Multiplying 6656112225 by its sum of digits (36), we get a square (239620040100 = 489510²).

The spelling of 6656112225 in words is "six billion, six hundred fifty-six million, one hundred twelve thousand, two hundred twenty-five".