8700228648225 has 81 divisors (see below), whose sum is σ = 16183825270483. Its totient is φ = 4639484828880.

The previous prime is 8700228648179. The next prime is 8700228648247. The reversal of 8700228648225 is 5228468220078.

The square root of 8700228648225 is 2949615.

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

8700228648225 is a `hidden beast` number, since 87 + 0 + 0 + 2 + 2 + 86 + 482 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3132082313361 + 5568146334864 = 1769769^2 + 2359692^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 8700228648225 - 2³³ = 8691638713633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1194590434 + ... + 1194597716.

Almost surely, 2^{8700228648225} is an apocalyptic number.

8700228648225 is the 2949615-th square number.

8700228648225 is the 1474808-th centered octagonal number.

It is an amenable number.

8700228648225 is a deficient number, since it is larger than the sum of its proper divisors (7483596622258).

8700228648225 is an frugal number, since it uses more digits than its factorization.

8700228648225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 8700228648225 in words is "eight trillion, seven hundred billion, two hundred twenty-eight million, six hundred forty-eight thousand, two hundred twenty-five".