11514000 has 160 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 2880000.

The previous prime is 11513951. The next prime is 11514001. The reversal of 11514000 is 41511.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11514001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113950 + ... + 114050.

It is an arithmetic number, because the mean of its divisors is an integer number (246636).

Almost surely, 2^11514000 is an apocalyptic number.

11514000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

11514000 is an abundant number, since it is smaller than the sum of its proper divisors (27947760).

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

11514000 is a wasteful number, since it uses less digits than its factorization.

11514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11514000 is about 3393.2285511000. The cubic root of 11514000 is about 225.8094302877.

Adding to 11514000 its reverse (41511), we get a palindrome (11555511).

It can be divided in two parts, 1151 and 4000, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 11514000 in words is "eleven million, five hundred fourteen thousand".