14674582728 has 480 divisors, whose sum is σ = 48056916600. Its totient is φ = 4154996736.

The previous prime is 14674582709. The next prime is 14674582729. The reversal of 14674582728 is 82728547641.

14674582728 is a `hidden beast` number, since 146 + 7 + 458 + 27 + 28 = 666.

14674582728 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 4 ways, for example, as 10970886564 + 3703696164 = 104742^2 + 60858^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14674582729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 164882908 + ... + 164882996.

Almost surely, 2^14674582728 is an apocalyptic number.

14674582728 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 14674582728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24028458300).

14674582728 is an abundant number, since it is smaller than the sum of its proper divisors (33382333872).

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

14674582728 is a wasteful number, since it uses less digits than its factorization.

14674582728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 14674582728 in words is "fourteen billion, six hundred seventy-four million, five hundred eighty-two thousand, seven hundred twenty-eight".