225110285568 has 864 divisors, whose sum is σ = 833107451904. Its totient is φ = 59154333696.

The previous prime is 225110285443. The next prime is 225110285591. The reversal of 225110285568 is 865582011522.

225110285568 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 1 + 0 + 2 + 85 + 568 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 347929021 + ... + 347929667.

It is an arithmetic number, because the mean of its divisors is an integer number (964244736).

Almost surely, 2^225110285568 is an apocalyptic number.

225110285568 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 225110285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416553725952).

225110285568 is an abundant number, since it is smaller than the sum of its proper divisors (607997166336).

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

225110285568 is an equidigital number, since it uses as much as digits as its factorization.

225110285568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 225110285568 in words is "two hundred twenty-five billion, one hundred ten million, two hundred eighty-five thousand, five hundred sixty-eight".