14865648 has 80 divisors (see below), whose sum is σ = 44330496. Its totient is φ = 4204800.

The previous prime is 14865623. The next prime is 14865649. The reversal of 14865648 is 84656841.

14865648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14865648³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14865649) 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, 50590 + ... + 50882.

Almost surely, 2^14865648 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 14865648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165248).

14865648 is an abundant number, since it is smaller than the sum of its proper divisors (29464848).

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

14865648 is a wasteful number, since it uses less digits than its factorization.

14865648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 14865648 is about 3855.5995642701. The cubic root of 14865648 is about 245.8826858175.

The spelling of 14865648 in words is "fourteen million, eight hundred sixty-five thousand, six hundred forty-eight".