11588352963889 has 15 divisors (see below), whose sum is σ = 12554638508013. Its totient is φ = 10696410147384.

The previous prime is 11588352963857. The next prime is 11588352963893. The reversal of 11588352963889 is 98836925388511.

The square root of 11588352963889 is 3404167.

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

11588352963889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5745690498289 + 5842662465600 = 2397017^2 + 2417160^2 .

It is not a de Polignac number, because 11588352963889 - 2⁵ = 11588352963857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11588352963289) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 575294152 + ... + 575314294.

Almost surely, 2^{11588352963889} is an apocalyptic number.

11588352963889 is the 3404167-th square number.

11588352963889 is the 1702084-th centered octagonal number.

It is an amenable number.

11588352963889 is a deficient number, since it is larger than the sum of its proper divisors (966285544124).

11588352963889 is an frugal number, since it uses more digits than its factorization.

11588352963889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40338 (or 20156 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 76.

The spelling of 11588352963889 in words is "eleven trillion, five hundred eighty-eight billion, three hundred fifty-two million, nine hundred sixty-three thousand, eight hundred eighty-nine".