14974848 has 128 divisors (see below), whose sum is σ = 50592000. Its totient is φ = 4271616.

The previous prime is 14974847. The next prime is 14974867. The reversal of 14974848 is 84847941.

14974848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14974847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23883 + ... + 24501.

It is an arithmetic number, because the mean of its divisors is an integer number (395250).

Almost surely, 2^14974848 is an apocalyptic number.

14974848 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 14974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296000).

14974848 is an abundant number, since it is smaller than the sum of its proper divisors (35617152).

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

14974848 is an equidigital number, since it uses as much as digits as its factorization.

14974848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 631 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 14974848 is about 3869.7348746393. The cubic root of 14974848 is about 246.4832855016.

The spelling of 14974848 in words is "fourteen million, nine hundred seventy-four thousand, eight hundred forty-eight".