14083750800 has 480 divisors, whose sum is σ = 57600956160. Its totient is φ = 3201638400.

The previous prime is 14083750787. The next prime is 14083750801. The reversal of 14083750800 is 805738041.

14083750800 is a `hidden beast` number, since 140 + 8 + 3 + 7 + 508 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14083750801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18219214 + ... + 18219986.

It is an arithmetic number, because the mean of its divisors is an integer number (120001992).

Almost surely, 2^14083750800 is an apocalyptic number.

14083750800 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 14083750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800478080).

14083750800 is an abundant number, since it is smaller than the sum of its proper divisors (43517205360).

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

14083750800 is a wasteful number, since it uses less digits than its factorization.

14083750800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14083750800 in words is "fourteen billion, eighty-three million, seven hundred fifty thousand, eight hundred".