23664284224 has 189 divisors, whose sum is σ = 56838535929. Its totient is φ = 9746795520.

The previous prime is 23664284209. The next prime is 23664284243. The reversal of 23664284224 is 42248246632.

The square root of 23664284224 is 153832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1140277824 + 22524006400 = 33768^2 + 150080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 353198239 + ... + 353198305.

Almost surely, 2^23664284224 is an apocalyptic number.

23664284224 is the 153832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23664284224

23664284224 is an abundant number, since it is smaller than the sum of its proper divisors (33174251705).

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

23664284224 is an frugal number, since it uses more digits than its factorization.

23664284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 117 counting only the distinct ones).

The product of its digits is 884736, while the sum is 43.

The spelling of 23664284224 in words is "twenty-three billion, six hundred sixty-four million, two hundred eighty-four thousand, two hundred twenty-four".