11121444623689 has 9 divisors (see below), whose sum is σ = 11133740573319. Its totient is φ = 11109162249600.

The previous prime is 11121444623633. The next prime is 11121444623693. The reversal of 11121444623689 is 98632644412111.

The square root of 11121444623689 is 3334883.

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., 11093675734089 + 27768889600 = 3330717^2 + 166640^2 .

It is not a de Polignac number, because 11121444623689 - 2³¹ = 11119297140041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121444623609) 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, 5339146642 + ... + 5339148724.

Almost surely, 2^{11121444623689} is an apocalyptic number.

11121444623689 is the 3334883-rd square number.

11121444623689 is the 1667442-nd centered octagonal number.

It is an amenable number.

11121444623689 is a deficient number, since it is larger than the sum of its proper divisors (12295949630).

11121444623689 is an frugal number, since it uses more digits than its factorization.

11121444623689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 3684 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The spelling of 11121444623689 in words is "eleven trillion, one hundred twenty-one billion, four hundred forty-four million, six hundred twenty-three thousand, six hundred eighty-nine".