11123338917889 has 27 divisors (see below), whose sum is σ = 12494089455393. Its totient is φ = 9895440489000.

The previous prime is 11123338917877. The next prime is 11123338917907. The reversal of 11123338917889 is 98871983332111.

The square root of 11123338917889 is 3335167.

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

It is not a de Polignac number, because 11123338917889 - 2⁹ = 11123338917377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11123338917889.

It is not an unprimeable number, because it can be changed into a prime (11123338917839) 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 26 ways as a sum of consecutive naturals, for example, 1724278114 + ... + 1724284564.

Almost surely, 2^{11123338917889} is an apocalyptic number.

11123338917889 is the 3335167-th square number.

11123338917889 is the 1667584-th centered octagonal number.

It is an amenable number.

11123338917889 is a deficient number, since it is larger than the sum of its proper divisors (1370750537504).

11123338917889 is an frugal number, since it uses more digits than its factorization.

11123338917889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 6509 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 64.

Multiplying 11123338917889 by its sum of digits (64), we get a square (711893690744896 = 26681336²).

The spelling of 11123338917889 in words is "eleven trillion, one hundred twenty-three billion, three hundred thirty-eight million, nine hundred seventeen thousand, eight hundred eighty-nine".