14301105408 has 108 divisors (see below), whose sum is σ = 41270009508. Its totient is φ = 4762828800.

The previous prime is 14301105407. The next prime is 14301105479. The reversal of 14301105408 is 80450110341.

It is a happy number.

14301105408 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 110 + 540 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10443204864 + 3857900544 = 102192^2 + 62112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301105407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3686766 + ... + 3690642.

Almost surely, 2^14301105408 is an apocalyptic number.

14301105408 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 14301105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635004754).

14301105408 is an abundant number, since it is smaller than the sum of its proper divisors (26968904100).

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

14301105408 is a wasteful number, since it uses less digits than its factorization.

14301105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 14301105408 its reverse (80450110341), we get a palindrome (94751215749).

The spelling of 14301105408 in words is "fourteen billion, three hundred one million, one hundred five thousand, four hundred eight".