14116400214 has 16 divisors (see below), whose sum is σ = 32266057728. Its totient is φ = 4033257192.

The previous prime is 14116400171. The next prime is 14116400257. The reversal of 14116400214 is 41200461141.

14116400214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14116400171) and next prime (14116400257).

It is a congruent number.

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, 168052342 + ... + 168052425.

It is an arithmetic number, because the mean of its divisors is an integer number (2016628608).

Almost surely, 2^14116400214 is an apocalyptic number.

14116400214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14116400214 is an abundant number, since it is smaller than the sum of its proper divisors (18149657514).

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

14116400214 is a wasteful number, since it uses less digits than its factorization.

14116400214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336104779.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14116400214 its reverse (41200461141), we get a palindrome (55316861355).

The spelling of 14116400214 in words is "fourteen billion, one hundred sixteen million, four hundred thousand, two hundred fourteen".