14314664 has 72 divisors (see below), whose sum is σ = 34270110. Its totient is φ = 5556096.

The previous prime is 14314633. The next prime is 14314669. The reversal of 14314664 is 46641341.

14314664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12545764 + 1768900 = 3542^2 + 1330^2 .

It is not an unprimeable number, because it can be changed into a prime (14314669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270062 + ... + 270114.

Almost surely, 2^14314664 is an apocalyptic number.

14314664 is a gapful number since it is divisible by the number (14) 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 14314664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17135055).

14314664 is an abundant number, since it is smaller than the sum of its proper divisors (19955446).

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

14314664 is a wasteful number, since it uses less digits than its factorization.

14314664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 75 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 14314664 is about 3783.4724790858. The cubic root of 14314664 is about 242.8065432892.

The spelling of 14314664 in words is "fourteen million, three hundred fourteen thousand, six hundred sixty-four".