14686848 has 192 divisors, whose sum is σ = 49327200. Its totient is φ = 4147200.

The previous prime is 14686843. The next prime is 14686849. The reversal of 14686848 is 84868641.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (294912) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14686843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240738 + ... + 240798.

Almost surely, 2^14686848 is an apocalyptic number.

14686848 is a gapful number since it is divisible by the number (18) 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 14686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663600).

14686848 is an abundant number, since it is smaller than the sum of its proper divisors (34640352).

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

14686848 is a wasteful number, since it uses less digits than its factorization.

14686848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 14686848 is about 3832.3423646642. The cubic root of 14686848 is about 244.8929033514.

The spelling of 14686848 in words is "fourteen million, six hundred eighty-six thousand, eight hundred forty-eight".