4224221688817 has 16 divisors (see below), whose sum is σ = 4625036816400. Its totient is φ = 3834764064000.

The previous prime is 4224221688793. The next prime is 4224221688829. The reversal of 4224221688817 is 7188861224224.

It can be written as a sum of positive squares in 8 ways, for example, as 974407868641 + 3249813820176 = 987121^2 + 1802724^2 .

It is a cyclic number.

It is not a de Polignac number, because 4224221688817 - 2²⁷ = 4224087471089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4224221688877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10600434 + ... + 10991707.

It is an arithmetic number, because the mean of its divisors is an integer number (289064801025).

Almost surely, 2^{4224221688817} is an apocalyptic number.

It is an amenable number.

4224221688817 is a deficient number, since it is larger than the sum of its proper divisors (400815127583).

4224221688817 is a wasteful number, since it uses less digits than its factorization.

4224221688817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21592404.

The product of its digits is 5505024, while the sum is 55.

The spelling of 4224221688817 in words is "four trillion, two hundred twenty-four billion, two hundred twenty-one million, six hundred eighty-eight thousand, eight hundred seventeen".