200916408169 has 9 divisors (see below), whose sum is σ = 203053006341. Its totient is φ = 198802074240.

The previous prime is 200916408157. The next prime is 200916408193. The reversal of 200916408169 is 961804619002.

It is a happy number.

The square root of 200916408169 is 448237.

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 6424824025 + 194491584144 = 80155^2 + 441012^2 .

It is a de Polignac number, because none of the positive numbers 2^k-200916408169 is a prime.

It is a super-2 number, since 2×200916408169² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200916408769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43476679 + ... + 43481299.

It is an arithmetic number, because the mean of its divisors is an integer number (22561445149).

Almost surely, 2^200916408169 is an apocalyptic number.

200916408169 is the 448237-th square number.

200916408169 is the 224119-th centered octagonal number.

It is an amenable number.

200916408169 is a deficient number, since it is larger than the sum of its proper divisors (2136598172).

200916408169 is an frugal number, since it uses more digits than its factorization.

200916408169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 200916408169 in words is "two hundred billion, nine hundred sixteen million, four hundred eight thousand, one hundred sixty-nine".