14083387200 has 252 divisors, whose sum is σ = 50879441548. Its totient is φ = 3693772800.

The previous prime is 14083387169. The next prime is 14083387237. The reversal of 14083387200 is 278338041.

It can be written as a sum of positive squares in 6 ways, for example, as 7369879104 + 6713508096 = 85848^2 + 81936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 870384 + ... + 886416.

Almost surely, 2^14083387200 is an apocalyptic number.

14083387200 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 14083387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25439720774).

14083387200 is an abundant number, since it is smaller than the sum of its proper divisors (36796054348).

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

14083387200 is a wasteful number, since it uses less digits than its factorization.

14083387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16122 (or 16104 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14083387200 in words is "fourteen billion, eighty-three million, three hundred eighty-seven thousand, two hundred".