225445381128 has 108 divisors (see below), whose sum is σ = 671266709295. Its totient is φ = 68303352480.

The previous prime is 225445381127. The next prime is 225445381129. The reversal of 225445381128 is 821183544522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225445381128 is a `hidden beast` number, since 2 + 2 + 5 + 445 + 3 + 81 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (225445381127) and next prime (225445381129).

It can be written as a sum of positive squares in only one way, i.e., 112722690564 + 112722690564 = 335742^2 + 335742^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335742.

It is not an unprimeable number, because it can be changed into a prime (225445381121) 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 26 ways as a sum of consecutive naturals, for example, 44315401 + ... + 44320487.

Almost surely, 2^225445381128 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 225445381128

225445381128 is an abundant number, since it is smaller than the sum of its proper divisors (445821328167).

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

225445381128 is an equidigital number, since it uses as much as digits as its factorization.

225445381128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208 (or 5103 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 225445381128 in words is "two hundred twenty-five billion, four hundred forty-five million, three hundred eighty-one thousand, one hundred twenty-eight".