14224100130432 has 192 divisors, whose sum is σ = 41711223925800. Its totient is φ = 4651058700288.

The previous prime is 14224100130431. The next prime is 14224100130463. The reversal of 14224100130432 is 23403100142241.

14224100130432 is a `hidden beast` number, since 1 + 4 + 224 + 1 + 0 + 0 + 1 + 3 + 0 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9856234207296 + 4367865923136 = 3139464^2 + 2089944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 14224100130396 and 14224100130405.

It is not an unprimeable number, because it can be changed into a prime (14224100130431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394953258 + ... + 394989270.

Almost surely, 2^{14224100130432} is an apocalyptic number.

14224100130432 is a gapful number since it is divisible by the number (12) 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 14224100130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855611962900).

14224100130432 is an abundant number, since it is smaller than the sum of its proper divisors (27487123795368).

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

14224100130432 is a wasteful number, since it uses less digits than its factorization.

14224100130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42555 (or 42540 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14224100130432 its reverse (23403100142241), we get a palindrome (37627200272673).

The spelling of 14224100130432 in words is "fourteen trillion, two hundred twenty-four billion, one hundred million, one hundred thirty thousand, four hundred thirty-two".