225345988896 has 96 divisors (see below), whose sum is σ = 679435545600. Its totient is φ = 64060989696.

The previous prime is 225345988891. The next prime is 225345988909. The reversal of 225345988896 is 698889543522.

225345988896 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 (96).

It is a super-3 number, since 3×225345988896³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225345988896.

It is not an unprimeable number, because it can be changed into a prime (225345988891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 708826 + ... + 976281.

It is an arithmetic number, because the mean of its divisors is an integer number (7077453600).

Almost surely, 2^225345988896 is an apocalyptic number.

It is an amenable number.

225345988896 is an abundant number, since it is smaller than the sum of its proper divisors (454089556704).

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

225345988896 is a wasteful number, since it uses less digits than its factorization.

225345988896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685326 (or 1685318 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 69.

The spelling of 225345988896 in words is "two hundred twenty-five billion, three hundred forty-five million, nine hundred eighty-eight thousand, eight hundred ninety-six".