11114004 has 48 divisors (see below), whose sum is σ = 28486080. Its totient is φ = 3344640.

The previous prime is 11113933. The next prime is 11114087. The reversal of 11114004 is 40041111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35352 + ... + 35664.

It is an arithmetic number, because the mean of its divisors is an integer number (593460).

Almost surely, 2^11114004 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 11114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243040).

11114004 is an abundant number, since it is smaller than the sum of its proper divisors (17372076).

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

11114004 is a wasteful number, since it uses less digits than its factorization.

11114004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11114004 is about 3333.7672384256. The cubic root of 11114004 is about 223.1636809650.

Adding to 11114004 its reverse (40041111), we get a palindrome (51155115).

It can be divided in two parts, 1111 and 4004, that multiplied together give a palindrome (4448444).

The spelling of 11114004 in words is "eleven million, one hundred fourteen thousand, four".