14409616 has 45 divisors (see below), whose sum is σ = 30651219. Its totient is φ = 6559488.

The previous prime is 14409611. The next prime is 14409643. The reversal of 14409616 is 61690441.

The square root of 14409616 is 3796.

It is a perfect power (a square), and thus also a powerful number.

14409616 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 12960000 = 1204^2 + 3600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14409611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 197356 + ... + 197428.

Almost surely, 2^14409616 is an apocalyptic number.

14409616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14409616 is the 3796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14409616

14409616 is an abundant number, since it is smaller than the sum of its proper divisors (16241603).

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

14409616 is an equidigital number, since it uses as much as digits as its factorization.

14409616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 14409616 is about 243.3422218975.

Multiplying 14409616 by its product of nonzero digits (5184), we get a square (74699449344 = 273312²).

The spelling of 14409616 in words is "fourteen million, four hundred nine thousand, six hundred sixteen".