14496 has 24 divisors (see below), whose sum is σ = 38304. Its totient is φ = 4800.

The previous prime is 14489. The next prime is 14503. The reversal of 14496 is 69441.

14496 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (14489) and next prime (14503).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

2¹⁴⁴⁹⁶ is an apocalyptic number.

14496 is a gapful number since it is divisible by the number (16) 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 14496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152).

14496 is an abundant number, since it is smaller than the sum of its proper divisors (23808).

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

14496 is a wasteful number, since it uses less digits than its factorization.

14496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 14496 is about 120.3993355463. The cubic root of 14496 is about 24.3827523008.

Subtracting 14496 from its reverse (69441), we obtain a palindrome (54945).

It can be divided in two parts, 144 and 96, that multiplied together give a cube (13824 = 24³).

The spelling of 14496 in words is "fourteen thousand, four hundred ninety-six".