221716673424 has 45 divisors (see below), whose sum is σ = 620514559483. Its totient is φ = 73903674336.

The previous prime is 221716673413. The next prime is 221716673429. The reversal of 221716673424 is 424376617122.

The square root of 221716673424 is 470868.

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

221716673424 is a `hidden beast` number, since 2 + 217 + 1 + 6 + 6 + 7 + 3 + 424 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221716673424.

It is not an unprimeable number, because it can be changed into a prime (221716673429) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5630797 + ... + 5670035.

Almost surely, 2^221716673424 is an apocalyptic number.

221716673424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

221716673424 is the 470868-th square number.

It is an amenable number.

221716673424 is an abundant number, since it is smaller than the sum of its proper divisors (398797886059).

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

221716673424 is an frugal number, since it uses more digits than its factorization.

221716673424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78492 (or 39244 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 221716673424 in words is "two hundred twenty-one billion, seven hundred sixteen million, six hundred seventy-three thousand, four hundred twenty-four".