224357584896 has 117 divisors (see below), whose sum is σ = 648327815031. Its totient is φ = 74755547136.

The previous prime is 224357584873. The next prime is 224357584901. The reversal of 224357584896 is 698485753422.

The square root of 224357584896 is 473664.

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

224357584896 is a `hidden beast` number, since 2 + 2 + 43 + 5 + 7 + 584 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90942255 + ... + 90944721.

Almost surely, 2^224357584896 is an apocalyptic number.

224357584896 is the 473664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224357584896

224357584896 is an abundant number, since it is smaller than the sum of its proper divisors (423970230135).

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

224357584896 is an frugal number, since it uses more digits than its factorization.

224357584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 2472 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 224357584896 in words is "two hundred twenty-four billion, three hundred fifty-seven million, five hundred eighty-four thousand, eight hundred ninety-six".