11049093104 has 120 divisors (see below), whose sum is σ = 26286598800. Its totient is φ = 4473584640.

The previous prime is 11049093071. The next prime is 11049093109. The reversal of 11049093104 is 40139094011.

11049093104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11049093104³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11049093109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6866252 + ... + 6867860.

It is an arithmetic number, because the mean of its divisors is an integer number (219054990).

Almost surely, 2^11049093104 is an apocalyptic number.

11049093104 is a gapful number since it is divisible by the number (14) 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 11049093104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143299400).

11049093104 is an abundant number, since it is smaller than the sum of its proper divisors (15237505696).

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

11049093104 is a wasteful number, since it uses less digits than its factorization.

11049093104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 11049093104 in words is "eleven billion, forty-nine million, ninety-three thousand, one hundred four".