225545232096 has 144 divisors (see below), whose sum is σ = 652627750320. Its totient is φ = 73866424320.

The previous prime is 225545232007. The next prime is 225545232127. The reversal of 225545232096 is 690232545522.

225545232096 is a `hidden beast` number, since 2 + 2 + 554 + 5 + 2 + 3 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53029906 + ... + 53034158.

It is an arithmetic number, because the mean of its divisors is an integer number (4532137155).

Almost surely, 2^225545232096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225545232096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326313875160).

225545232096 is an abundant number, since it is smaller than the sum of its proper divisors (427082518224).

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

225545232096 is a wasteful number, since it uses less digits than its factorization.

225545232096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 225545232096 in words is "two hundred twenty-five billion, five hundred forty-five million, two hundred thirty-two thousand, ninety-six".