14406720768 has 324 divisors, whose sum is σ = 47158710144. Its totient is φ = 4222310400.

The previous prime is 14406720751. The next prime is 14406720781. The reversal of 14406720768 is 86702760441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8641471 + ... + 8643137.

Almost surely, 2^14406720768 is an apocalyptic number.

14406720768 is a gapful number since it is divisible by the number (18) 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 14406720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23579355072).

14406720768 is an abundant number, since it is smaller than the sum of its proper divisors (32751989376).

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

14406720768 is a wasteful number, since it uses less digits than its factorization.

14406720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 14406720768 in words is "fourteen billion, four hundred six million, seven hundred twenty thousand, seven hundred sixty-eight".