16684372224 has 567 divisors, whose sum is σ = 56521969077. Its totient is φ = 4910450688.

The previous prime is 16684372193. The next prime is 16684372241. The reversal of 16684372224 is 42227348661.

It is a happy number.

The square root of 16684372224 is 129168.

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., 2468102400 + 14216269824 = 49680^2 + 119232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16684372224.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 725407477 + ... + 725407499.

Almost surely, 2^16684372224 is an apocalyptic number.

16684372224 is the 129168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16684372224

16684372224 is an abundant number, since it is smaller than the sum of its proper divisors (39837596853).

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

16684372224 is an frugal number, since it uses more digits than its factorization.

16684372224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 16684372224 in words is "sixteen billion, six hundred eighty-four million, three hundred seventy-two thousand, two hundred twenty-four".