11044874564689 has 9 divisors (see below), whose sum is σ = 12848146453467. Its totient is φ = 9467015400864.

The previous prime is 11044874564681. The next prime is 11044874564699. The reversal of 11044874564689 is 98646547844011.

The square root of 11044874564689 is 3323383.

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., 130308726289 + 10914565838400 = 360983^2 + 3303720^2 .

It is not a de Polignac number, because 11044874564689 - 2³ = 11044874564681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11044874564681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23026297 + ... + 23501065.

It is an arithmetic number, because the mean of its divisors is an integer number (1427571828163).

Almost surely, 2^{11044874564689} is an apocalyptic number.

11044874564689 is the 3323383-rd square number.

11044874564689 is the 1661692-nd centered octagonal number.

It is an amenable number.

11044874564689 is a deficient number, since it is larger than the sum of its proper divisors (1803271888778).

11044874564689 is an frugal number, since it uses more digits than its factorization.

11044874564689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949552 (or 474776 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 67.

The spelling of 11044874564689 in words is "eleven trillion, forty-four billion, eight hundred seventy-four million, five hundred sixty-four thousand, six hundred eighty-nine".