225550144800 has 486 divisors, whose sum is σ = 828007724817. Its totient is φ = 57771786240.

The previous prime is 225550144669. The next prime is 225550144817. The reversal of 225550144800 is 8441055522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225550144800 is a `hidden beast` number, since 2 + 25 + 550 + 1 + 4 + 4 + 80 + 0 = 666.

225550144800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 32326601616 + 193223543184 = 179796^2 + 439572^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335820.

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

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, 1168653504 + ... + 1168653696.

Almost surely, 2^225550144800 is an apocalyptic number.

225550144800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225550144800

225550144800 is an abundant number, since it is smaller than the sum of its proper divisors (602457580017).

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

225550144800 is a wasteful number, since it uses less digits than its factorization.

225550144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 225550144800 in words is "two hundred twenty-five billion, five hundred fifty million, one hundred forty-four thousand, eight hundred".