14481284328 has 320 divisors, whose sum is σ = 48247056000. Its totient is φ = 3970487808.

The previous prime is 14481284317. The next prime is 14481284333. The reversal of 14481284328 is 82348218441.

14481284328 is a `hidden beast` number, since 1 + 4 + 48 + 1 + 284 + 328 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37226758 + ... + 37227146.

It is an arithmetic number, because the mean of its divisors is an integer number (150772050).

Almost surely, 2^14481284328 is an apocalyptic number.

14481284328 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 14481284328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24123528000).

14481284328 is an abundant number, since it is smaller than the sum of its proper divisors (33765771672).

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

14481284328 is a wasteful number, since it uses less digits than its factorization.

14481284328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 14481284328 in words is "fourteen billion, four hundred eighty-one million, two hundred eighty-four thousand, three hundred twenty-eight".