11091117890889 has 135 divisors (see below), whose sum is σ = 17391500736687. Its totient is φ = 7043894078976.

The previous prime is 11091117890833. The next prime is 11091117890903. The reversal of 11091117890889 is 98809871119011.

The square root of 11091117890889 is 3330333.

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

It can be written as a sum of positive squares in 13 ways, for example, as 334633325625 + 10756484565264 = 578475^2 + 3279708^2 .

It is not a de Polignac number, because 11091117890889 - 2⁷ = 11091117890761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11091117890389) 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 134 ways as a sum of consecutive naturals, for example, 80957064829 + ... + 80957064965.

Almost surely, 2^{11091117890889} is an apocalyptic number.

11091117890889 is the 3330333-rd square number.

11091117890889 is the 1665167-th centered octagonal number.

It is an amenable number.

11091117890889 is a deficient number, since it is larger than the sum of its proper divisors (6300382845798).

11091117890889 is an frugal number, since it uses more digits than its factorization.

11091117890889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 63.

It can be divided in two parts, 1109111 and 7890889, that added together give a square (9000000 = 3000²).

The spelling of 11091117890889 in words is "eleven trillion, ninety-one billion, one hundred seventeen million, eight hundred ninety thousand, eight hundred eighty-nine".