224058890528 has 54 divisors (see below), whose sum is σ = 484926723603. Its totient is φ = 101831561920.

The previous prime is 224058890513. The next prime is 224058890537. The reversal of 224058890528 is 825098850422.

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.

It can be written as a sum of positive squares in only one way, i.e., 112029445264 + 112029445264 = 334708^2 + 334708^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334708.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224058890528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29450501 + ... + 29458107.

Almost surely, 2^224058890528 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 224058890528

224058890528 is an abundant number, since it is smaller than the sum of its proper divisors (260867833075).

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

224058890528 is an frugal number, since it uses more digits than its factorization.

224058890528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15246 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The spelling of 224058890528 in words is "two hundred twenty-four billion, fifty-eight million, eight hundred ninety thousand, five hundred twenty-eight".