225203557644 has 144 divisors (see below), whose sum is σ = 640017810432. Its totient is φ = 66248620416.

The previous prime is 225203557589. The next prime is 225203557669. The reversal of 225203557644 is 446755302522.

225203557644 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 0 + 35 + 576 + 44 = 666.

225203557644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225203557644.

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, 31244289 + ... + 31251495.

It is an arithmetic number, because the mean of its divisors is an integer number (4444568128).

Almost surely, 2^225203557644 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 225203557644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320008905216).

225203557644 is an abundant number, since it is smaller than the sum of its proper divisors (414814252788).

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

225203557644 is a wasteful number, since it uses less digits than its factorization.

225203557644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 225203557644 in words is "two hundred twenty-five billion, two hundred three million, five hundred fifty-seven thousand, six hundred forty-four".