14214286680 has 128 divisors (see below), whose sum is σ = 46618675200. Its totient is φ = 3438540800.

The previous prime is 14214286651. The next prime is 14214286703. The reversal of 14214286680 is 8668241241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621040 + ... + 643520.

It is an arithmetic number, because the mean of its divisors is an integer number (364208400).

Almost surely, 2^14214286680 is an apocalyptic number.

14214286680 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 14214286680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23309337600).

14214286680 is an abundant number, since it is smaller than the sum of its proper divisors (32404388520).

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

14214286680 is a wasteful number, since it uses less digits than its factorization.

14214286680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22985 (or 22981 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

It can be divided in two parts, 142142 and 86680, that added together give a palindrome (228822).

The spelling of 14214286680 in words is "fourteen billion, two hundred fourteen million, two hundred eighty-six thousand, six hundred eighty".