225522880128 has 864 divisors, whose sum is σ = 837636003360. Its totient is φ = 59216541696.

The previous prime is 225522880117. The next prime is 225522880129. The reversal of 225522880128 is 821088225522.

It is a happy number.

225522880128 is a `hidden beast` number, since 2 + 2 + 552 + 2 + 8 + 80 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×225522880128² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225522880129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 993492751 + ... + 993492977.

It is an arithmetic number, because the mean of its divisors is an integer number (969486115).

Almost surely, 2^225522880128 is an apocalyptic number.

225522880128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225522880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418818001680).

225522880128 is an abundant number, since it is smaller than the sum of its proper divisors (612113123232).

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

225522880128 is an frugal number, since it uses more digits than its factorization.

225522880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 225522880128 in words is "two hundred twenty-five billion, five hundred twenty-two million, eight hundred eighty thousand, one hundred twenty-eight".