14416416 has 72 divisors (see below), whose sum is σ = 46859904. Its totient is φ = 4118400.

The previous prime is 14416403. The next prime is 14416417. The reversal of 14416416 is 61461441.

14416416 is a `hidden beast` number, since 14 + 4 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 14416416.

It is not an unprimeable number, because it can be changed into a prime (14416417) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1560 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (650832).

Almost surely, 2^14416416 is an apocalyptic number.

14416416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14416416 is an abundant number, since it is smaller than the sum of its proper divisors (32443488).

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

14416416 is a wasteful number, since it uses less digits than its factorization.

14416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7163 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14416416 is about 3796.8955740183. The cubic root of 14416416 is about 243.3804941847.

Adding to 14416416 its reverse (61461441), we get a palindrome (75877857).

The spelling of 14416416 in words is "fourteen million, four hundred sixteen thousand, four hundred sixteen".