225425045045200 has 720 divisors, whose sum is σ = 732887463950208. Its totient is φ = 64838315520000.

The previous prime is 225425045045177. The next prime is 225425045045227. The reversal of 225425045045200 is 2540540524522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22246619334 + ... + 22246629466.

Almost surely, 2^{225425045045200} is an apocalyptic number.

225425045045200 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 225425045045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366443731975104).

225425045045200 is an abundant number, since it is smaller than the sum of its proper divisors (507462418905008).

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

225425045045200 is a wasteful number, since it uses less digits than its factorization.

225425045045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15244 (or 15222 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

Adding to 225425045045200 its reverse (2540540524522), we get a palindrome (227965585569722).

The spelling of 225425045045200 in words is "two hundred twenty-five trillion, four hundred twenty-five billion, forty-five million, forty-five thousand, two hundred".