16834284009 has 27 divisors (see below), whose sum is σ = 24756265989. Its totient is φ = 11023305120.

The previous prime is 16834284007. The next prime is 16834284029. The reversal of 16834284009 is 90048243861.

It is a happy number.

The square root of 16834284009 is 129747.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12155724009 + 4678560000 = 110253^2 + 68400^2 .

It is not a de Polignac number, because 16834284009 - 2¹ = 16834284007 is a prime.

It is a super-2 number, since 2×16834284009² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16834284001) 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, 23743347 + ... + 23744055.

Almost surely, 2^16834284009 is an apocalyptic number.

16834284009 is the 129747-th square number.

16834284009 is the 64874-th centered octagonal number.

It is an amenable number.

16834284009 is a deficient number, since it is larger than the sum of its proper divisors (7921981980).

16834284009 is an frugal number, since it uses more digits than its factorization.

16834284009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 773 counting only the distinct ones).

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

The spelling of 16834284009 in words is "sixteen billion, eight hundred thirty-four million, two hundred eighty-four thousand, nine".