225186026688 has 336 divisors, whose sum is σ = 793873813824. Its totient is φ = 59560427520.

The previous prime is 225186026617. The next prime is 225186026719. The reversal of 225186026688 is 886620681522.

It is a happy number.

225186026688 is a `hidden beast` number, since 2 + 2 + 518 + 60 + 2 + 6 + 68 + 8 = 666.

225186026688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4154256 + ... + 4208112.

It is an arithmetic number, because the mean of its divisors is an integer number (2362719684).

Almost surely, 2^225186026688 is an apocalyptic number.

225186026688 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 225186026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396936906912).

225186026688 is an abundant number, since it is smaller than the sum of its proper divisors (568687787136).

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

225186026688 is a wasteful number, since it uses less digits than its factorization.

225186026688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53960 (or 53947 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 225186026688 in words is "two hundred twenty-five billion, one hundred eighty-six million, twenty-six thousand, six hundred eighty-eight".