14319880960 has 288 divisors, whose sum is σ = 44630756352. Its totient is φ = 4268605440.

The previous prime is 14319880943. The next prime is 14319880961. The reversal of 14319880960 is 6908891341.

It is not an unprimeable number, because it can be changed into a prime (14319880961) 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 31 ways as a sum of consecutive naturals, for example, 2263722 + ... + 2270038.

It is an arithmetic number, because the mean of its divisors is an integer number (154967904).

Almost surely, 2^14319880960 is an apocalyptic number.

14319880960 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 14319880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22315378176).

14319880960 is an abundant number, since it is smaller than the sum of its proper divisors (30310875392).

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

14319880960 is a wasteful number, since it uses less digits than its factorization.

14319880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 14319880960 in words is "fourteen billion, three hundred nineteen million, eight hundred eighty thousand, nine hundred sixty".