14225616144000 has 1024 divisors, whose sum is σ = 54038832307200. Its totient is φ = 3675547238400.

The previous prime is 14225616143941. The next prime is 14225616144071. The reversal of 14225616144000 is 44161652241.

14225616144000 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 56 + 161 + 440 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4107886269 + ... + 4107889731.

It is an arithmetic number, because the mean of its divisors is an integer number (52772297175).

Almost surely, 2^{14225616144000} is an apocalyptic number.

14225616144000 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 14225616144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019416153600).

14225616144000 is an abundant number, since it is smaller than the sum of its proper divisors (39813216163200).

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

14225616144000 is a wasteful number, since it uses less digits than its factorization.

14225616144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 14225616144000 its reverse (44161652241), we get a palindrome (14269777796241).

The spelling of 14225616144000 in words is "fourteen trillion, two hundred twenty-five billion, six hundred sixteen million, one hundred forty-four thousand".