225141042175200 has 288 divisors, whose sum is σ = 824312702797920. Its totient is φ = 60037610780160.

The previous prime is 225141042175139. The next prime is 225141042175201. The reversal of 225141042175200 is 2571240141522.

225141042175200 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 4 + 104 + 21 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225141042175201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62591119 + ... + 66090318.

It is an arithmetic number, because the mean of its divisors is an integer number (2862196884715).

Almost surely, 2^{225141042175200} is an apocalyptic number.

225141042175200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225141042175200 is an abundant number, since it is smaller than the sum of its proper divisors (599171660622720).

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

225141042175200 is an equidigital number, since it uses as much as digits as its factorization.

225141042175200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128681478 (or 128681447 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 225141042175200 in words is "two hundred twenty-five trillion, one hundred forty-one billion, forty-two million, one hundred seventy-five thousand, two hundred".