11416314 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2878848.

The previous prime is 11416309. The next prime is 11416319. The reversal of 11416314 is 41361411.

It is an interprime number because it is at equal distance from previous prime (11416309) and next prime (11416319).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11416319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110787 + ... + 110889.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^11416314 is an apocalyptic number.

11416314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11416314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11416314 is an abundant number, since it is smaller than the sum of its proper divisors (18460806).

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

11416314 is a wasteful number, since it uses less digits than its factorization.

11416314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 11416314 is about 3378.8036344245. The cubic root of 11416314 is about 225.1690186814.

Adding to 11416314 its reverse (41361411), we get a palindrome (52777725).

The spelling of 11416314 in words is "eleven million, four hundred sixteen thousand, three hundred fourteen".