14816082960 has 1080 divisors, whose sum is σ = 65693384640. Its totient is φ = 2969809920.

The previous prime is 14816082949. The next prime is 14816082961. The reversal of 14816082960 is 6928061841.

14816082960 is a `hidden beast` number, since 1 + 481 + 6 + 0 + 82 + 96 + 0 = 666.

14816082960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14816082961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 477938145 + ... + 477938175.

It is an arithmetic number, because the mean of its divisors is an integer number (60827208).

Almost surely, 2^14816082960 is an apocalyptic number.

14816082960 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 14816082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32846692320).

14816082960 is an abundant number, since it is smaller than the sum of its proper divisors (50877301680).

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

14816082960 is a wasteful number, since it uses less digits than its factorization.

14816082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 14816082960 in words is "fourteen billion, eight hundred sixteen million, eighty-two thousand, nine hundred sixty".