11114000 has 40 divisors (see below), whose sum is σ = 26878488. Its totient is φ = 4444800.

The previous prime is 11113933. The next prime is 11114087. The reversal of 11114000 is 41111.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 11075584 = 196^2 + 3328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779 + ... + 4778.

Almost surely, 2^11114000 is an apocalyptic number.

11114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11114000 is an abundant number, since it is smaller than the sum of its proper divisors (15764488).

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

11114000 is an equidigital number, since it uses as much as digits as its factorization.

11114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 11114000 is about 3333.7666385037. The cubic root of 11114000 is about 223.1636541924.

Adding to 11114000 its reverse (41111), we get a palindrome (11155111).

The spelling of 11114000 in words is "eleven million, one hundred fourteen thousand".