14742468 has 108 divisors (see below), whose sum is σ = 43022980. Its totient is φ = 4230144.

The previous prime is 14742467. The next prime is 14742473. The reversal of 14742468 is 86424741.

14742468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 14152644 = 768^2 + 3762^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14742467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135198 + ... + 135306.

Almost surely, 2^14742468 is an apocalyptic number.

14742468 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 14742468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511490).

14742468 is an abundant number, since it is smaller than the sum of its proper divisors (28280512).

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

14742468 is a wasteful number, since it uses less digits than its factorization.

14742468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 14742468 is about 3839.5921658426. The cubic root of 14742468 is about 245.2016554385.

The spelling of 14742468 in words is "fourteen million, seven hundred forty-two thousand, four hundred sixty-eight".