14214106305 has 192 divisors, whose sum is σ = 29622827520. Its totient is φ = 6172028928.

The previous prime is 14214106261. The next prime is 14214106307. The reversal of 14214106305 is 50360141241.

It is a happy number.

14214106305 is a `hidden beast` number, since 1 + 4 + 2 + 14 + 10 + 630 + 5 = 666.

It is not a de Polignac number, because 14214106305 - 2⁶ = 14214106241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14214106307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130404591 + ... + 130404699.

It is an arithmetic number, because the mean of its divisors is an integer number (154285560).

Almost surely, 2^14214106305 is an apocalyptic number.

14214106305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14214106305 is an abundant number, since it is smaller than the sum of its proper divisors (15408721215).

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

14214106305 is a wasteful number, since it uses less digits than its factorization.

14214106305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14214106305 its reverse (50360141241), we get a palindrome (64574247546).

The spelling of 14214106305 in words is "fourteen billion, two hundred fourteen million, one hundred six thousand, three hundred five".