11175094068889 has 27 divisors (see below), whose sum is σ = 12216947555007. Its totient is φ = 10220179799088.

The previous prime is 11175094068869. The next prime is 11175094068913. The reversal of 11175094068889 is 98886049057111.

The square root of 11175094068889 is 3342917.

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., 5859948257289 + 5315145811600 = 2420733^2 + 2305460^2 .

It is not a de Polignac number, because 11175094068889 - 2⁹ = 11175094068377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11175094068869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1841944234 + ... + 1841950300.

Almost surely, 2^{11175094068889} is an apocalyptic number.

11175094068889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11175094068889 is the 3342917-th square number.

11175094068889 is the 1671459-th centered octagonal number.

It is an amenable number.

11175094068889 is a deficient number, since it is larger than the sum of its proper divisors (1041853486118).

11175094068889 is an frugal number, since it uses more digits than its factorization.

11175094068889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 67.

The spelling of 11175094068889 in words is "eleven trillion, one hundred seventy-five billion, ninety-four million, sixty-eight thousand, eight hundred eighty-nine".