14314464 has 72 divisors (see below), whose sum is σ = 42496272. Its totient is φ = 4561920.

The previous prime is 14314463. The next prime is 14314477. The reversal of 14314464 is 46441341.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314463) 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, 5544 + ... + 7704.

It is an arithmetic number, because the mean of its divisors is an integer number (590226).

Almost surely, 2^14314464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248136).

14314464 is an abundant number, since it is smaller than the sum of its proper divisors (28181808).

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

14314464 is a wasteful number, since it uses less digits than its factorization.

14314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2189 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 14314464 is about 3783.4460482475. The cubic root of 14314464 is about 242.8054124783.

The spelling of 14314464 in words is "fourteen million, three hundred fourteen thousand, four hundred sixty-four".