14142816 has 48 divisors (see below), whose sum is σ = 41252400. Its totient is φ = 4713984.

The previous prime is 14142763. The next prime is 14142823. The reversal of 14142816 is 61824141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14142816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7321 + ... + 9048.

It is an arithmetic number, because the mean of its divisors is an integer number (859425).

Almost surely, 2^14142816 is an apocalyptic number.

14142816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14142816 is an abundant number, since it is smaller than the sum of its proper divisors (27109584).

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

14142816 is a wasteful number, since it uses less digits than its factorization.

14142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16388 (or 16374 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14142816 is about 3760.6935530564. The cubic root of 14142816 is about 241.8309955402.

Adding to 14142816 its reverse (61824141), we get a palindrome (75966957).

The spelling of 14142816 in words is "fourteen million, one hundred forty-two thousand, eight hundred sixteen".