16689430972900 has 243 divisors, whose sum is σ = 44765876896209. Its totient is φ = 5383928309760.

The previous prime is 16689430972873. The next prime is 16689430972933. The reversal of 16689430972900 is 927903498661.

The square root of 16689430972900 is 4085270.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8659824646564 + 8029606326336 = 2942758^2 + 2833656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4861469584 + ... + 4861473016.

Almost surely, 2^{16689430972900} is an apocalyptic number.

16689430972900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16689430972900 is the 4085270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16689430972900

16689430972900 is an abundant number, since it is smaller than the sum of its proper divisors (28076445923309).

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

16689430972900 is an equidigital number, since it uses as much as digits as its factorization.

16689430972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 16689430972900 in words is "sixteen trillion, six hundred eighty-nine billion, four hundred thirty million, nine hundred seventy-two thousand, nine hundred".