225544217472 has 384 divisors, whose sum is σ = 809717126400. Its totient is φ = 61048442880.

The previous prime is 225544217471. The next prime is 225544217501. The reversal of 225544217472 is 274712445522.

225544217472 is a `hidden beast` number, since 2 + 2 + 554 + 4 + 21 + 7 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225544217471) 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 47 ways as a sum of consecutive naturals, for example, 4109572 + ... + 4164092.

It is an arithmetic number, because the mean of its divisors is an integer number (2108638350).

Almost surely, 2^225544217472 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 225544217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404858563200).

225544217472 is an abundant number, since it is smaller than the sum of its proper divisors (584172908928).

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

225544217472 is an equidigital number, since it uses as much as digits as its factorization.

225544217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54576 (or 54552 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 45.

The spelling of 225544217472 in words is "two hundred twenty-five billion, five hundred forty-four million, two hundred seventeen thousand, four hundred seventy-two".