225013365504 has 432 divisors, whose sum is σ = 692113443840. Its totient is φ = 72882892800.

The previous prime is 225013365481. The next prime is 225013365557. The reversal of 225013365504 is 405563310522.

225013365504 is a `hidden beast` number, since 22 + 50 + 1 + 3 + 36 + 550 + 4 = 666.

225013365504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370697169 + ... + 370697775.

Almost surely, 2^225013365504 is an apocalyptic number.

225013365504 is a gapful number since it is divisible by the number (24) 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 225013365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346056721920).

225013365504 is an abundant number, since it is smaller than the sum of its proper divisors (467100078336).

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

225013365504 is an equidigital number, since it uses as much as digits as its factorization.

225013365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 225013365504 in words is "two hundred twenty-five billion, thirteen million, three hundred sixty-five thousand, five hundred four".