11785166300209 has 3 divisors (see below), whose sum is σ = 11785169733163. Its totient is φ = 11785162867256.

The previous prime is 11785166300189. The next prime is 11785166300261. The reversal of 11785166300209 is 90200366158711.

The square root of 11785166300209 is 3432953.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 10755087455025 + 1030078845184 = 3279495^2 + 1014928^2 .

It is not a de Polignac number, because 11785166300209 - 2¹⁹ = 11785165775921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11785166300269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1716477 + ... + 5149429.

Almost surely, 2^{11785166300209} is an apocalyptic number.

11785166300209 is the 3432953-rd square number.

11785166300209 is the 1716477-th centered octagonal number.

It is an amenable number.

11785166300209 is a deficient number, since it is larger than the sum of its proper divisors (3432954).

11785166300209 is an frugal number, since it uses more digits than its factorization.

11785166300209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865906 (or 3432953 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 11785166300209 by its sum of digits (49), we get a square (577473148710241 = 24030671²).

The spelling of 11785166300209 in words is "eleven trillion, seven hundred eighty-five billion, one hundred sixty-six million, three hundred thousand, two hundred nine".