11136450144 has 48 divisors (see below), whose sum is σ = 29240347248. Its totient is φ = 3711240192.

The previous prime is 11136450133. The next prime is 11136450161. The reversal of 11136450144 is 44105463111.

11136450144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 462204 + ... + 485700.

It is an arithmetic number, because the mean of its divisors is an integer number (609173901).

Almost surely, 2^11136450144 is an apocalyptic number.

It is an amenable number.

11136450144 is an abundant number, since it is smaller than the sum of its proper divisors (18103897104).

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

11136450144 is a wasteful number, since it uses less digits than its factorization.

11136450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28447 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

It can be divided in two parts, 11136 and 450144, that added together give a triangular number (461280 = T₉₆₀).

The spelling of 11136450144 in words is "eleven billion, one hundred thirty-six million, four hundred fifty thousand, one hundred forty-four".