14131102211424 has 144 divisors (see below), whose sum is σ = 43857673960464. Its totient is φ = 4280282496000.

The previous prime is 14131102211419. The next prime is 14131102211437. The reversal of 14131102211424 is 42411220113141.

14131102211424 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 10 + 221 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14131102211424² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6291574 + ... + 8236874.

It is an arithmetic number, because the mean of its divisors is an integer number (304567180281).

Almost surely, 2^{14131102211424} 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 14131102211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928836980232).

14131102211424 is an abundant number, since it is smaller than the sum of its proper divisors (29726571749040).

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

14131102211424 is a wasteful number, since it uses less digits than its factorization.

14131102211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947621 (or 1947610 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14131102211424 its reverse (42411220113141), we get a palindrome (56542322324565).

The spelling of 14131102211424 in words is "fourteen trillion, one hundred thirty-one billion, one hundred two million, two hundred eleven thousand, four hundred twenty-four".