11011001101110 has 48 divisors (see below), whose sum is σ = 28800031661856. Its totient is φ = 2918684519424.

The previous prime is 11011001101099. The next prime is 11011001101151. The reversal of 11011001101110 is 1110110011011.

11011001101110 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011001101092 and 11011001101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366285739 + ... + 366315798.

It is an arithmetic number, because the mean of its divisors is an integer number (600000659622).

Almost surely, 2^{11011001101110} is an apocalyptic number.

11011001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11011001101110 is an abundant number, since it is smaller than the sum of its proper divisors (17789030560746).

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

11011001101110 is a wasteful number, since it uses less digits than its factorization.

11011001101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732601717 (or 732601714 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11011001101110 its reverse (1110110011011), we get a palindrome (12121111112121).

The spelling of 11011001101110 in words is "eleven trillion, eleven billion, one million, one hundred one thousand, one hundred ten".