14448864 has 48 divisors (see below), whose sum is σ = 38586240. Its totient is φ = 4732800.

The previous prime is 14448857. The next prime is 14448871. The reversal of 14448864 is 46884441.

14448864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14448857) and next prime (14448871).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4389 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (803880).

Almost surely, 2^14448864 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 14448864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293120).

14448864 is an abundant number, since it is smaller than the sum of its proper divisors (24137376).

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

14448864 is a wasteful number, since it uses less digits than its factorization.

14448864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2615 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 14448864 is about 3801.1661368585. The cubic root of 14448864 is about 243.5629549929.

It can be divided in two parts, 14 and 448864, that added together give a triangular number (448878 = T₉₄₇).

The spelling of 14448864 in words is "fourteen million, four hundred forty-eight thousand, eight hundred sixty-four".