225005744000 has 128 divisors (see below), whose sum is σ = 592328337120. Its totient is φ = 84707942400.

The previous prime is 225005743997. The next prime is 225005744009. The reversal of 225005744000 is 447500522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225005744009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141614 + ... + 685613.

Almost surely, 2^225005744000 is an apocalyptic number.

225005744000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225005744000 is an abundant number, since it is smaller than the sum of its proper divisors (367322593120).

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

225005744000 is an equidigital number, since it uses as much as digits as its factorization.

225005744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827273 (or 827251 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The spelling of 225005744000 in words is "two hundred twenty-five billion, five million, seven hundred forty-four thousand".