14100457160 has 32 divisors (see below), whose sum is σ = 31730038200. Its totient is φ = 5639470080.

The previous prime is 14100457159. The next prime is 14100457193. The reversal of 14100457160 is 6175400141.

14100457160 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 13895222884 + 205234276 = 117878^2 + 14326^2 .

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 7 ways as a sum of consecutive naturals, for example, 394430 + ... + 428690.

Almost surely, 2^14100457160 is an apocalyptic number.

14100457160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100457160 is an abundant number, since it is smaller than the sum of its proper divisors (17629581040).

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

14100457160 is a wasteful number, since it uses less digits than its factorization.

14100457160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44561 (or 44557 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 14100457160 in words is "fourteen billion, one hundred million, four hundred fifty-seven thousand, one hundred sixty".