225484790169600 has 3024 divisors, whose sum is σ = 926661250712232. Its totient is φ = 54059209850880.

The previous prime is 225484790169593. The next prime is 225484790169631. The reversal of 225484790169600 is 6961097484522.

225484790169600 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 8 + 4 + 7 + 9 + 0 + 16 + 9 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10153348890624 + 215331441278976 = 3186432^2 + 14674176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1645874380732 + ... + 1645874380868.

Almost surely, 2^{225484790169600} is an apocalyptic number.

225484790169600 is a gapful number since it is divisible by the number (20) 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 225484790169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463330625356116).

225484790169600 is an abundant number, since it is smaller than the sum of its proper divisors (701176460542632).

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

225484790169600 is an frugal number, since it uses more digits than its factorization.

225484790169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 225484790169600 in words is "two hundred twenty-five trillion, four hundred eighty-four billion, seven hundred ninety million, one hundred sixty-nine thousand, six hundred".