11289848544 has 144 divisors (see below), whose sum is σ = 34642271664. Its totient is φ = 3467059200.

The previous prime is 11289848543. The next prime is 11289848599. The reversal of 11289848544 is 44584898211.

11289848544 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 98 + 4 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289848543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2135184 + ... + 2140464.

It is an arithmetic number, because the mean of its divisors is an integer number (240571331).

Almost surely, 2^11289848544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289848544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17321135832).

11289848544 is an abundant number, since it is smaller than the sum of its proper divisors (23352423120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11289848544 is a wasteful number, since it uses less digits than its factorization.

11289848544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5870 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 11289848544 in words is "eleven billion, two hundred eighty-nine million, eight hundred forty-eight thousand, five hundred forty-four".