225118613275200 has 1008 divisors, whose sum is σ = 838430420143680. Its totient is φ = 59405514670080.

The previous prime is 225118613275177. The next prime is 225118613275421. The reversal of 225118613275200 is 2572316811522.

225118613275200 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 1 + 8 + 613 + 2 + 7 + 5 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46968204004 + ... + 46968208796.

It is an arithmetic number, because the mean of its divisors is an integer number (831776210460).

Almost surely, 2^{225118613275200} is an apocalyptic number.

225118613275200 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 225118613275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419215210071840).

225118613275200 is an abundant number, since it is smaller than the sum of its proper divisors (613311806868480).

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

225118613275200 is a wasteful number, since it uses less digits than its factorization.

225118613275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 225118613275200 in words is "two hundred twenty-five trillion, one hundred eighteen billion, six hundred thirteen million, two hundred seventy-five thousand, two hundred".