11090345267089 has 9 divisors (see below), whose sum is σ = 12190254484681. Its totient is φ = 10082098758820.

The previous prime is 11090345267083. The next prime is 11090345267149. The reversal of 11090345267089 is 98076254309011.

It is a happy number.

The square root of 11090345267089 is 3330217.

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

It is not a de Polignac number, because 11090345267089 - 2¹³ = 11090345258897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11090345267083) 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, 36481014 + ... + 36783760.

It is a 2-persistent number, because it is pandigital, and so is 2⋅11090345267089 = 22180690534178, but 3⋅11090345267089 = 33271035801267 is not.

Almost surely, 2^{11090345267089} is an apocalyptic number.

11090345267089 is the 3330217-th square number.

11090345267089 is the 1665109-th centered octagonal number.

It is an amenable number.

11090345267089 is a deficient number, since it is larger than the sum of its proper divisors (1099909217592).

11090345267089 is an frugal number, since it uses more digits than its factorization.

11090345267089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605516 (or 302758 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 11090345267089 in words is "eleven trillion, ninety billion, three hundred forty-five million, two hundred sixty-seven thousand, eighty-nine".