224144583968 has 54 divisors (see below), whose sum is σ = 445462657731. Its totient is φ = 111021107904.

The previous prime is 224144583967. The next prime is 224144583977. The reversal of 224144583968 is 869385441422.

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., 112072291984 + 112072291984 = 334772^2 + 334772^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334772.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224144583967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 340128023 + ... + 340128681.

Almost surely, 2^224144583968 is an apocalyptic number.

It is an amenable number.

224144583968 is a deficient number, since it is larger than the sum of its proper divisors (221318073763).

224144583968 is an frugal number, since it uses more digits than its factorization.

224144583968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 788 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 56.

The spelling of 224144583968 in words is "two hundred twenty-four billion, one hundred forty-four million, five hundred eighty-three thousand, nine hundred sixty-eight".