14280634368 has 1040 divisors, whose sum is σ = 58610340096. Its totient is φ = 3344302080.

The previous prime is 14280634363. The next prime is 14280634369. The reversal of 14280634368 is 86343608241.

14280634368 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 0 + 634 + 3 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14280634363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332107755 + ... + 332107797.

Almost surely, 2^14280634368 is an apocalyptic number.

14280634368 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 14280634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29305170048).

14280634368 is an abundant number, since it is smaller than the sum of its proper divisors (44329705728).

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

14280634368 is a wasteful number, since it uses less digits than its factorization.

14280634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 14280634368 in words is "fourteen billion, two hundred eighty million, six hundred thirty-four thousand, three hundred sixty-eight".