14538048 has 112 divisors (see below), whose sum is σ = 45598080. Its totient is φ = 3999744.

The previous prime is 14538037. The next prime is 14538049. The reversal of 14538048 is 84083541.

14538048 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 (112).

It is a super-2 number, since 2×14538048² = 422709679300608, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14538049) 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, 38790 + ... + 39162.

Almost surely, 2^14538048 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 14538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22799040).

14538048 is an abundant number, since it is smaller than the sum of its proper divisors (31060032).

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

14538048 is a wasteful number, since it uses less digits than its factorization.

14538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 14538048 is about 3812.8792270409. The cubic root of 14538048 is about 244.0630491910.

The spelling of 14538048 in words is "fourteen million, five hundred thirty-eight thousand, forty-eight".