14384450080 has 768 divisors, whose sum is σ = 49990348800. Its totient is φ = 3762339840.

The previous prime is 14384450029. The next prime is 14384450081. The reversal of 14384450080 is 8005448341.

It is not an unprimeable number, because it can be changed into a prime (14384450081) 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 127 ways as a sum of consecutive naturals, for example, 88248079 + ... + 88248241.

It is an arithmetic number, because the mean of its divisors is an integer number (65091600).

Almost surely, 2^14384450080 is an apocalyptic number.

14384450080 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 14384450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995174400).

14384450080 is an abundant number, since it is smaller than the sum of its proper divisors (35605898720).

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

14384450080 is a wasteful number, since it uses less digits than its factorization.

14384450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

It can be divided in two parts, 14384 and 450080, that added together give a palindrome (464464).

The spelling of 14384450080 in words is "fourteen billion, three hundred eighty-four million, four hundred fifty thousand, eighty".