14668060800 has 768 divisors, whose sum is σ = 54639360000. Its totient is φ = 3442360320.

The previous prime is 14668060777. The next prime is 14668060807. The reversal of 14668060800 is 806086641.

It is not an unprimeable number, because it can be changed into a prime (14668060807) 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 95 ways as a sum of consecutive naturals, for example, 248611171 + ... + 248611229.

It is an arithmetic number, because the mean of its divisors is an integer number (71145000).

Almost surely, 2^14668060800 is an apocalyptic number.

14668060800 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 14668060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680000).

14668060800 is an abundant number, since it is smaller than the sum of its proper divisors (39971299200).

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

14668060800 is a wasteful number, since it uses less digits than its factorization.

14668060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 14668060800 in words is "fourteen billion, six hundred sixty-eight million, sixty thousand, eight hundred".