224575977672 has 36 divisors (see below), whose sum is σ = 608237496945. Its totient is φ = 74857318848.

The previous prime is 224575977623. The next prime is 224575977679. The reversal of 224575977672 is 276779575422.

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.

224575977672 is a `hidden beast` number, since 2 + 2 + 457 + 59 + 77 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 190160533476 + 34415444196 = 436074^2 + 185514^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335094.

It is not an unprimeable number, because it can be changed into a prime (224575977679) by changing a digit.

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, 3993204 + ... + 4049052.

Almost surely, 2^224575977672 is an apocalyptic number.

It is an amenable number.

224575977672 is an abundant number, since it is smaller than the sum of its proper divisors (383661519273).

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

224575977672 is an frugal number, since it uses more digits than its factorization.

224575977672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111710 (or 55854 counting only the distinct ones).

The product of its digits is 103723200, while the sum is 63.

The spelling of 224575977672 in words is "two hundred twenty-four billion, five hundred seventy-five million, nine hundred seventy-seven thousand, six hundred seventy-two".