11134669728 has 192 divisors, whose sum is σ = 36065191680. Its totient is φ = 2929139712.

The previous prime is 11134669717. The next prime is 11134669729. The reversal of 11134669728 is 82796643111.

11134669728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11134669729) 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 31 ways as a sum of consecutive naturals, for example, 3990958 + ... + 3993746.

It is an arithmetic number, because the mean of its divisors is an integer number (187839540).

Almost surely, 2^11134669728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134669728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032595840).

11134669728 is an abundant number, since it is smaller than the sum of its proper divisors (24930521952).

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

11134669728 is a wasteful number, since it uses less digits than its factorization.

11134669728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3271 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 11134669728 in words is "eleven billion, one hundred thirty-four million, six hundred sixty-nine thousand, seven hundred twenty-eight".