11007816746809 has 9 divisors (see below), whose sum is σ = 11400585245647. Its totient is φ = 10628143960504.

The previous prime is 11007816746743. The next prime is 11007816746819. The reversal of 11007816746809 is 90864761870011.

The square root of 11007816746809 is 3317803.

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., 5772232087209 + 5235584659600 = 2402547^2 + 2288140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11007816746809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11007816746819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96159084 + ... + 96273490.

Almost surely, 2^{11007816746809} is an apocalyptic number.

11007816746809 is the 3317803-rd square number.

11007816746809 is the 1658902-nd centered octagonal number.

It is an amenable number.

11007816746809 is a deficient number, since it is larger than the sum of its proper divisors (392768498838).

11007816746809 is an frugal number, since it uses more digits than its factorization.

11007816746809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228872 (or 114436 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 58.

The spelling of 11007816746809 in words is "eleven trillion, seven billion, eight hundred sixteen million, seven hundred forty-six thousand, eight hundred nine".