224641873296 has 135 divisors (see below), whose sum is σ = 635718588843. Its totient is φ = 74052135360.

The previous prime is 224641873279. The next prime is 224641873307. The reversal of 224641873296 is 692378146422.

It is a happy number.

The square root of 224641873296 is 473964.

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

224641873296 is a `hidden beast` number, since 2 + 246 + 41 + 8 + 73 + 296 = 666.

224641873296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224641873296² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 722320981 + ... + 722321291.

Almost surely, 2^224641873296 is an apocalyptic number.

224641873296 is the 473964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224641873296

224641873296 is an abundant number, since it is smaller than the sum of its proper divisors (411076715547).

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

224641873296 is an equidigital number, since it uses as much as digits as its factorization.

224641873296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 443 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 224641873296 in words is "two hundred twenty-four billion, six hundred forty-one million, eight hundred seventy-three thousand, two hundred ninety-six".