18225628200 has 144 divisors (see below), whose sum is σ = 65916106620. Its totient is φ = 4486302720.

The previous prime is 18225628199. The next prime is 18225628207. The reversal of 18225628200 is 282652281.

18225628200 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 5 + 628 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1099718244 + 17125909956 = 33162^2 + 130866^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18225628207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366037 + ... + 412836.

Almost surely, 2^18225628200 is an apocalyptic number.

18225628200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18225628200 is an abundant number, since it is smaller than the sum of its proper divisors (47690478420).

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

18225628200 is a wasteful number, since it uses less digits than its factorization.

18225628200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778908 (or 778896 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18225628200 in words is "eighteen billion, two hundred twenty-five million, six hundred twenty-eight thousand, two hundred".