14081448200 has 96 divisors (see below), whose sum is σ = 33002073000. Its totient is φ = 5587599360.

The previous prime is 14081448187. The next prime is 14081448209. The reversal of 14081448200 is 284418041.

It can be written as a sum of positive squares in 12 ways, for example, as 50098084 + 14031350116 = 7078^2 + 118454^2 .

It is not an unprimeable number, because it can be changed into a prime (14081448209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20923064 + ... + 20923736.

Almost surely, 2^14081448200 is an apocalyptic number.

14081448200 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 14081448200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501036500).

14081448200 is an abundant number, since it is smaller than the sum of its proper divisors (18920624800).

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

14081448200 is a wasteful number, since it uses less digits than its factorization.

14081448200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 14081448200 in words is "fourteen billion, eighty-one million, four hundred forty-eight thousand, two hundred".