224680539168 has 486 divisors, whose sum is σ = 714813710247. Its totient is φ = 66927144960.

The previous prime is 224680539163. The next prime is 224680539169. The reversal of 224680539168 is 861935086422.

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.

224680539168 is a `hidden beast` number, since 2 + 2 + 46 + 8 + 0 + 539 + 1 + 68 = 666.

224680539168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 209701716624 + 14978822544 = 457932^2 + 122388^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335172.

It is not an unprimeable number, because it can be changed into a prime (224680539163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4239255430 + ... + 4239255482.

Almost surely, 2^224680539168 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 224680539168

224680539168 is an abundant number, since it is smaller than the sum of its proper divisors (490133171079).

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

224680539168 is a wasteful number, since it uses less digits than its factorization.

224680539168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 224680539168 in words is "two hundred twenty-four billion, six hundred eighty million, five hundred thirty-nine thousand, one hundred sixty-eight".