11086882111809 has 45 divisors (see below), whose sum is σ = 18683162665089. Its totient is φ = 6335081512200.

The previous prime is 11086882111807. The next prime is 11086882111841. The reversal of 11086882111809 is 90811128868011.

The square root of 11086882111809 is 3329697.

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

It is not a de Polignac number, because 11086882111809 - 2¹ = 11086882111807 is a prime.

It is a super-2 number, since 2×11086882111809² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11086882111807) 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 44 ways as a sum of consecutive naturals, for example, 489454134 + ... + 489476784.

Almost surely, 2^{11086882111809} is an apocalyptic number.

11086882111809 is the 3329697-th square number.

11086882111809 is the 1664849-th centered octagonal number.

It is an amenable number.

11086882111809 is a deficient number, since it is larger than the sum of its proper divisors (7596280553280).

11086882111809 is an frugal number, since it uses more digits than its factorization.

11086882111809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45336 (or 22661 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 54.

The spelling of 11086882111809 in words is "eleven trillion, eighty-six billion, eight hundred eighty-two million, one hundred eleven thousand, eight hundred nine".