11049143328 has 144 divisors (see below), whose sum is σ = 32932448640. Its totient is φ = 3507305472.

The previous prime is 11049143309. The next prime is 11049143401. The reversal of 11049143328 is 82334194011.

11049143328 is a `hidden beast` number, since 110 + 4 + 91 + 433 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11049143292 and 11049143301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539813 + ... + 1546971.

It is an arithmetic number, because the mean of its divisors is an integer number (228697560).

Almost surely, 2^11049143328 is an apocalyptic number.

11049143328 is a gapful number since it is divisible by the number (18) 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 11049143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16466224320).

11049143328 is an abundant number, since it is smaller than the sum of its proper divisors (21883305312).

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

11049143328 is a wasteful number, since it uses less digits than its factorization.

11049143328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11049143328 in words is "eleven billion, forty-nine million, one hundred forty-three thousand, three hundred twenty-eight".