14386728960 has 312 divisors, whose sum is σ = 50485719960. Its totient is φ = 3789029376.

The previous prime is 14386728901. The next prime is 14386728971. The reversal of 14386728960 is 6982768341.

14386728960 is a `hidden beast` number, since 1 + 438 + 6 + 72 + 89 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1641222144 + 12745506816 = 40512^2 + 112896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14386728897 and 14386728906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16404042 + ... + 16404918.

It is an arithmetic number, because the mean of its divisors is an integer number (161813205).

Almost surely, 2^14386728960 is an apocalyptic number.

14386728960 is a gapful number since it is divisible by the number (10) 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 14386728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242859980).

14386728960 is an abundant number, since it is smaller than the sum of its proper divisors (36098991000).

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

14386728960 is an equidigital number, since it uses as much as digits as its factorization.

14386728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14386728960 in words is "fourteen billion, three hundred eighty-six million, seven hundred twenty-eight thousand, nine hundred sixty".