14314150200 has 192 divisors, whose sum is σ = 51545272320. Its totient is φ = 3218112000.

The previous prime is 14314150187. The next prime is 14314150241. The reversal of 14314150200 is 205141341.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228265 + ... + 284135.

It is an arithmetic number, because the mean of its divisors is an integer number (268464960).

Almost surely, 2^14314150200 is an apocalyptic number.

14314150200 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 14314150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25772636160).

14314150200 is an abundant number, since it is smaller than the sum of its proper divisors (37231122120).

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

14314150200 is a wasteful number, since it uses less digits than its factorization.

14314150200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55958 (or 55949 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 14314150200 its reverse (205141341), we get a palindrome (14519291541).

The spelling of 14314150200 in words is "fourteen billion, three hundred fourteen million, one hundred fifty thousand, two hundred".