14214288816 has 480 divisors, whose sum is σ = 52964387840. Its totient is φ = 3453290496.

The previous prime is 14214288799. The next prime is 14214288817. The reversal of 14214288816 is 61888241241.

14214288816 is a `hidden beast` number, since 142 + 1 + 428 + 8 + 81 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14214288817) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9211341 + ... + 9212883.

Almost surely, 2^14214288816 is an apocalyptic number.

14214288816 is a gapful number since it is divisible by the number (16) 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 14214288816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26482193920).

14214288816 is an abundant number, since it is smaller than the sum of its proper divisors (38750099024).

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

14214288816 is a wasteful number, since it uses less digits than its factorization.

14214288816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1624 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 14214288816 in words is "fourteen billion, two hundred fourteen million, two hundred eighty-eight thousand, eight hundred sixteen".