224659088672 has 54 divisors (see below), whose sum is σ = 462490965027. Its totient is φ = 107416157376.

The previous prime is 224659088669. The next prime is 224659088681. The reversal of 224659088672 is 276880956422.

It is a happy number.

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., 112329544336 + 112329544336 = 335156^2 + 335156^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335156.

It is a super-2 number, since 2×224659088672² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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, 61666883 + ... + 61670525.

Almost surely, 2^224659088672 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 224659088672

224659088672 is an abundant number, since it is smaller than the sum of its proper divisors (237831876355).

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

224659088672 is an frugal number, since it uses more digits than its factorization.

224659088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 224659088672 in words is "two hundred twenty-four billion, six hundred fifty-nine million, eighty-eight thousand, six hundred seventy-two".