16628618304 has 189 divisors, whose sum is σ = 49743568407. Its totient is φ = 5515019136.

The previous prime is 16628618291. The next prime is 16628618309. The reversal of 16628618304 is 40381682661.

The square root of 16628618304 is 128952.

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

16628618304 is a `hidden beast` number, since 1 + 6 + 6 + 28 + 618 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16628618304.

It is not an unprimeable number, because it can be changed into a prime (16628618309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83560797 + ... + 83560995.

Almost surely, 2^16628618304 is an apocalyptic number.

16628618304 is the 128952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16628618304

16628618304 is an abundant number, since it is smaller than the sum of its proper divisors (33114950103).

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

16628618304 is an frugal number, since it uses more digits than its factorization.

16628618304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16628618304 in words is "sixteen billion, six hundred twenty-eight million, six hundred eighteen thousand, three hundred four".