14661393200 has 60 divisors (see below), whose sum is σ = 35316334848. Its totient is φ = 5849184000.

The previous prime is 14661393193. The next prime is 14661393221. The reversal of 14661393200 is 239316641.

It is a happy number.

14661393200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 105350 + ... + 201050.

Almost surely, 2^14661393200 is an apocalyptic number.

14661393200 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 14661393200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658167424).

14661393200 is an abundant number, since it is smaller than the sum of its proper divisors (20654941648).

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

14661393200 is a wasteful number, since it uses less digits than its factorization.

14661393200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96102 (or 96091 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 14661393200 in words is "fourteen billion, six hundred sixty-one million, three hundred ninety-three thousand, two hundred".