14669052160 has 288 divisors, whose sum is σ = 41775697152. Its totient is φ = 4830658560.

The previous prime is 14669052143. The next prime is 14669052193. The reversal of 14669052160 is 6125096641.

It is a happy number.

14669052160 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 (40).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26817007 + ... + 26817553.

It is an arithmetic number, because the mean of its divisors is an integer number (145054504).

Almost surely, 2^14669052160 is an apocalyptic number.

14669052160 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 14669052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20887848576).

14669052160 is an abundant number, since it is smaller than the sum of its proper divisors (27106644992).

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

14669052160 is an equidigital number, since it uses as much as digits as its factorization.

14669052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 14669052160 in words is "fourteen billion, six hundred sixty-nine million, fifty-two thousand, one hundred sixty".