14185200128 has 80 divisors (see below), whose sum is σ = 31985854560. Its totient is φ = 6225408000.

The previous prime is 14185200097. The next prime is 14185200137. The reversal of 14185200128 is 82100258141.

It is a super-2 number, since 2×14185200128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14185200094 and 14185200103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 119903 + ... + 206753.

It is an arithmetic number, because the mean of its divisors is an integer number (399823182).

Almost surely, 2^14185200128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14185200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992927280).

14185200128 is an abundant number, since it is smaller than the sum of its proper divisors (17800654432).

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

14185200128 is an equidigital number, since it uses as much as digits as its factorization.

14185200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86909 (or 86893 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

Adding to 14185200128 its reverse (82100258141), we get a palindrome (96285458269).

The spelling of 14185200128 in words is "fourteen billion, one hundred eighty-five million, two hundred thousand, one hundred twenty-eight".