16944172668900 has 135 divisors (see below), whose sum is σ = 54927514741099. Its totient is φ = 4518347253120.

The previous prime is 16944172668889. The next prime is 16944172668919. The reversal of 16944172668900 is 986627144961.

The square root of 16944172668900 is 4116330.

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

16944172668900 is a `hidden beast` number, since 1 + 69 + 441 + 72 + 6 + 68 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2894809599396 + 14049363069504 = 1701414^2 + 3748248^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 370446832 + ... + 370492568.

Almost surely, 2^{16944172668900} is an apocalyptic number.

16944172668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16944172668900 is the 4116330-th square number.

It is an amenable number.

16944172668900 is an abundant number, since it is smaller than the sum of its proper divisors (37983342072199).

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

16944172668900 is an frugal number, since it uses more digits than its factorization.

16944172668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91500 (or 45747 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 16944172668900 in words is "sixteen trillion, nine hundred forty-four billion, one hundred seventy-two million, six hundred sixty-eight thousand, nine hundred".