209364814096 has 45 divisors (see below), whose sum is σ = 411539848101. Its totient is φ = 103182512256.

The previous prime is 209364814031. The next prime is 209364814123. The reversal of 209364814096 is 690418463902.

The square root of 209364814096 is 457564.

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

It can be written as a sum of positive squares in only one way, i.e., 118845667600 + 90519146496 = 344740^2 + 300864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133607905 + ... + 133609471.

Almost surely, 2^209364814096 is an apocalyptic number.

209364814096 is the 457564-th square number.

It is an amenable number.

209364814096 is a deficient number, since it is larger than the sum of its proper divisors (202175034005).

209364814096 is an frugal number, since it uses more digits than its factorization.

209364814096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 209364814096 in words is "two hundred nine billion, three hundred sixty-four million, eight hundred fourteen thousand, ninety-six".