225606566088 has 180 divisors, whose sum is σ = 647268565185. Its totient is φ = 73416746304.

The previous prime is 225606566071. The next prime is 225606566153. The reversal of 225606566088 is 880665606522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225606566088 is a `hidden beast` number, since 2 + 25 + 6 + 0 + 6 + 5 + 6 + 608 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218872394244 + 6734171844 = 467838^2 + 82062^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335862.

It is a super-2 number, since 2×225606566088² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 568278306 + ... + 568278702.

Almost surely, 2^225606566088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225606566088

225606566088 is an abundant number, since it is smaller than the sum of its proper divisors (421661999097).

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

225606566088 is an frugal number, since it uses more digits than its factorization.

225606566088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 225606566088 in words is "two hundred twenty-five billion, six hundred six million, five hundred sixty-six thousand, eighty-eight".