14313434001228 has 144 divisors (see below), whose sum is σ = 37518253194240. Its totient is φ = 4598148866688.

The previous prime is 14313434001227. The next prime is 14313434001247. The reversal of 14313434001228 is 82210043431341.

14313434001228 is a `hidden beast` number, since 14 + 3 + 13 + 4 + 3 + 400 + 1 + 228 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14313434001192 and 14313434001201.

It is not an unprimeable number, because it can be changed into a prime (14313434001227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144380325 + ... + 144479427.

It is an arithmetic number, because the mean of its divisors is an integer number (260543424960).

Almost surely, 2^{14313434001228} is an apocalyptic number.

14313434001228 is a gapful number since it is divisible by the number (18) 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 14313434001228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759126597120).

14313434001228 is an abundant number, since it is smaller than the sum of its proper divisors (23204819193012).

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

14313434001228 is a wasteful number, since it uses less digits than its factorization.

14313434001228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100508 (or 100503 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 14313434001228 its reverse (82210043431341), we get a palindrome (96523477432569).

The spelling of 14313434001228 in words is "fourteen trillion, three hundred thirteen billion, four hundred thirty-four million, one thousand, two hundred twenty-eight".