4224564654224 has 160 divisors (see below), whose sum is σ = 8510519041920. Its totient is φ = 2030664646656.

The previous prime is 4224564654209. The next prime is 4224564654251.

4224564654224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4224564654224³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2377356824 + ... + 2377358600.

It is an arithmetic number, because the mean of its divisors is an integer number (53190744012).

Almost surely, 2^{4224564654224} is an apocalyptic number.

It is an amenable number.

4224564654224 is an abundant number, since it is smaller than the sum of its proper divisors (4285954387696).

4224564654224 is a wasteful number, since it uses less digits than its factorization.

4224564654224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2251 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 4224564654224 in words is "four trillion, two hundred twenty-four billion, five hundred sixty-four million, six hundred fifty-four thousand, two hundred twenty-four".