14506848 has 72 divisors (see below), whose sum is σ = 43695288. Its totient is φ = 4549632.

The previous prime is 14506847. The next prime is 14506897. The reversal of 14506848 is 84860541.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14506841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3415 + ... + 6377.

It is an arithmetic number, because the mean of its divisors is an integer number (606879).

Almost surely, 2^14506848 is an apocalyptic number.

14506848 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 14506848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847644).

14506848 is an abundant number, since it is smaller than the sum of its proper divisors (29188440).

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

14506848 is a wasteful number, since it uses less digits than its factorization.

14506848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 14506848 is about 3808.7856332432. The cubic root of 14506848 is about 243.8883301601. Note that the first 3 decimals are identical.

The spelling of 14506848 in words is "fourteen million, five hundred six thousand, eight hundred forty-eight".