14704381728 has 144 divisors (see below), whose sum is σ = 43041450816. Its totient is φ = 4759856640.

The previous prime is 14704381723. The next prime is 14704381729. The reversal of 14704381728 is 82718340741.

14704381728 is a `hidden beast` number, since 1 + 47 + 0 + 438 + 172 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (14704381721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364650 + ... + 1375382.

It is an arithmetic number, because the mean of its divisors is an integer number (298898964).

Almost surely, 2^14704381728 is an apocalyptic number.

14704381728 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 14704381728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520725408).

14704381728 is an abundant number, since it is smaller than the sum of its proper divisors (28337069088).

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

14704381728 is a wasteful number, since it uses less digits than its factorization.

14704381728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 14704381728 in words is "fourteen billion, seven hundred four million, three hundred eighty-one thousand, seven hundred twenty-eight".