14464 has 16 divisors (see below), whose sum is σ = 29070. Its totient is φ = 7168.

The previous prime is 14461. The next prime is 14479. The reversal of 14464 is 46441.

14464 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 64 = 120^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

14464 is a nontrivial repdigit in base 15.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72 + ... + 184.

2¹⁴⁴⁶⁴ 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 14464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535).

14464 is an abundant number, since it is smaller than the sum of its proper divisors (14606).

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

14464 is an equidigital number, since it uses as much as digits as its factorization.

14464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 14464 is about 120.2663710270. The cubic root of 14464 is about 24.3647973957.

It can be divided in two parts, 144 and 64, that multiplied together give a square (9216 = 96²).

The spelling of 14464 in words is "fourteen thousand, four hundred sixty-four".