11004042114 has 48 divisors (see below), whose sum is σ = 25742316600. Its totient is φ = 3377127168.

The previous prime is 11004042107. The next prime is 11004042173. The reversal of 11004042114 is 41124040011.

11004042114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7225850025 + 3778192089 = 85005^2 + 61467^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 30582 + ... + 151470.

Almost surely, 2^11004042114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11004042114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871158300).

11004042114 is an abundant number, since it is smaller than the sum of its proper divisors (14738274486).

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

11004042114 is a wasteful number, since it uses less digits than its factorization.

11004042114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121299 (or 121296 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11004042114 its reverse (41124040011), we get a palindrome (52128082125).

The spelling of 11004042114 in words is "eleven billion, four million, forty-two thousand, one hundred fourteen".