11134344144 has 80 divisors (see below), whose sum is σ = 35861276160. Its totient is φ = 2892036480.

The previous prime is 11134344077. The next prime is 11134344197. The reversal of 11134344144 is 44144343111.

11134344144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 1502574 + ... + 1509965.

It is an arithmetic number, because the mean of its divisors is an integer number (448265952).

Almost surely, 2^11134344144 is an apocalyptic number.

11134344144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11134344144 is an abundant number, since it is smaller than the sum of its proper divisors (24726932016).

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

11134344144 is a wasteful number, since it uses less digits than its factorization.

11134344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012568 (or 3012562 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 11134344144 its reverse (44144343111), we get a palindrome (55278687255).

The spelling of 11134344144 in words is "eleven billion, one hundred thirty-four million, three hundred forty-four thousand, one hundred forty-four".