11189258645328 has 80 divisors (see below), whose sum is σ = 32417478452160. Its totient is φ = 3694895362944.

The previous prime is 11189258645311. The next prime is 11189258645381. The reversal of 11189258645328 is 82354685298111.

11189258645328 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 9 + 2 + 586 + 45 + 3 + 2 + 8 = 666.

11189258645328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120986775 + ... + 121079222.

It is an arithmetic number, because the mean of its divisors is an integer number (405218480652).

Almost surely, 2^{11189258645328} is an apocalyptic number.

11189258645328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11189258645328 is an abundant number, since it is smaller than the sum of its proper divisors (21228219806832).

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

11189258645328 is a wasteful number, since it uses less digits than its factorization.

11189258645328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242066121 (or 242066109 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 11189258645328 in words is "eleven trillion, one hundred eighty-nine billion, two hundred fifty-eight million, six hundred forty-five thousand, three hundred twenty-eight".