14386848 has 96 divisors (see below), whose sum is σ = 43868160. Its totient is φ = 4043520.

The previous prime is 14386837. The next prime is 14386873. The reversal of 14386848 is 84868341.

It is a Cunningham number, because it is equal to 3793²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52953 + ... + 53223.

It is an arithmetic number, because the mean of its divisors is an integer number (456960).

Almost surely, 2^14386848 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 14386848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

14386848 is an abundant number, since it is smaller than the sum of its proper divisors (29481312).

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

14386848 is a wasteful number, since it uses less digits than its factorization.

14386848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 14386848 is about 3792.9998681782. Note that the first 3 decimals coincide. The cubic root of 14386848 is about 243.2139895577.

It can be divided in two parts, 143868 and 48, that added together give a triangular number (143916 = T₅₃₆).

The spelling of 14386848 in words is "fourteen million, three hundred eighty-six thousand, eight hundred forty-eight".