225106172928 has 1408 divisors, whose sum is σ = 917789644800. Its totient is φ = 52744421376.

The previous prime is 225106172897. The next prime is 225106172939. The reversal of 225106172928 is 829271601522.

225106172928 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 0 + 617 + 2 + 9 + 28 = 666.

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 127 ways as a sum of consecutive naturals, for example, 812657526 + ... + 812657802.

Almost surely, 2^225106172928 is an apocalyptic number.

225106172928 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 225106172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458894822400).

225106172928 is an abundant number, since it is smaller than the sum of its proper divisors (692683471872).

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

225106172928 is a wasteful number, since it uses less digits than its factorization.

225106172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 225106172928 in words is "two hundred twenty-five billion, one hundred six million, one hundred seventy-two thousand, nine hundred twenty-eight".