11144552133536 has 96 divisors (see below), whose sum is σ = 23592468836160. Its totient is φ = 5163095494656.

The previous prime is 11144552133467. The next prime is 11144552133571. The reversal of 11144552133536 is 63533125544111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60740111 + ... + 60923313.

It is an arithmetic number, because the mean of its divisors is an integer number (245754883710).

Almost surely, 2^{11144552133536} is an apocalyptic number.

11144552133536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144552133536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796234418080).

11144552133536 is an abundant number, since it is smaller than the sum of its proper divisors (12447916702624).

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

11144552133536 is a wasteful number, since it uses less digits than its factorization.

11144552133536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184966 (or 184958 counting only the distinct ones).

The product of its digits is 648000, while the sum is 44.

Adding to 11144552133536 its reverse (63533125544111), we get a palindrome (74677677677647).

The spelling of 11144552133536 in words is "eleven trillion, one hundred forty-four billion, five hundred fifty-two million, one hundred thirty-three thousand, five hundred thirty-six".