14331011200 has 384 divisors, whose sum is σ = 40638024000. Its totient is φ = 4945920000.

The previous prime is 14331011131. The next prime is 14331011207. The reversal of 14331011200 is 211013341.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14331011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103100731 + ... + 103100869.

Almost surely, 2^14331011200 is an apocalyptic number.

14331011200 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 14331011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20319012000).

14331011200 is an abundant number, since it is smaller than the sum of its proper divisors (26307012800).

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

14331011200 is a wasteful number, since it uses less digits than its factorization.

14331011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 14331011200 its reverse (211013341), we get a palindrome (14542024541).

The spelling of 14331011200 in words is "fourteen billion, three hundred thirty-one million, eleven thousand, two hundred".