11248195791889 has 27 divisors (see below), whose sum is σ = 13138795416123. Its totient is φ = 9601567757712.

The previous prime is 11248195791863. The next prime is 11248195791913. The reversal of 11248195791889 is 98819759184211.

The square root of 11248195791889 is 3353833.

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., 4285500321025 + 6962695470864 = 2070145^2 + 2638692^2 .

It is not a de Polignac number, because 11248195791889 - 2¹⁷ = 11248195660817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11248195791289) 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 26 ways as a sum of consecutive naturals, for example, 6643942327 + ... + 6643944019.

It is an arithmetic number, because the mean of its divisors is an integer number (486622052449).

Almost surely, 2^{11248195791889} is an apocalyptic number.

11248195791889 is the 3353833-rd square number.

11248195791889 is the 1676917-th centered octagonal number.

It is an amenable number.

11248195791889 is a deficient number, since it is larger than the sum of its proper divisors (1890599624234).

11248195791889 is an frugal number, since it uses more digits than its factorization.

11248195791889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 1983 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 73.

The spelling of 11248195791889 in words is "eleven trillion, two hundred forty-eight billion, one hundred ninety-five million, seven hundred ninety-one thousand, eight hundred eighty-nine".