14104756000 has 96 divisors (see below), whose sum is σ = 34735100400. Its totient is φ = 5628928000.

The previous prime is 14104755967. The next prime is 14104756019. The reversal of 14104756000 is 65740141.

14104756000 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 8 ways, for example, as 553002256 + 13551753744 = 23516^2 + 116412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14104756000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1840176 + ... + 1847824.

Almost surely, 2^14104756000 is an apocalyptic number.

14104756000 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 14104756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367550200).

14104756000 is an abundant number, since it is smaller than the sum of its proper divisors (20630344400).

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

14104756000 is an equidigital number, since it uses as much as digits as its factorization.

14104756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 14104756000 in words is "fourteen billion, one hundred four million, seven hundred fifty-six thousand".