14133114435105 has 24 divisors (see below), whose sum is σ = 24500224892520. Its totient is φ = 7536791328000.

The previous prime is 14133114435073. The next prime is 14133114435127. The reversal of 14133114435105 is 50153441133141.

It is a happy number.

14133114435105 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 114 + 435 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 683702420769 + 13449412014336 = 826863^2 + 3667344^2 .

It is not a de Polignac number, because 14133114435105 - 2⁵ = 14133114435073 is a prime.

It is a super-2 number, since 2×14133114435105² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14133114435105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17724396 + ... + 18504605.

It is an arithmetic number, because the mean of its divisors is an integer number (1020842703855).

Almost surely, 2^{14133114435105} is an apocalyptic number.

14133114435105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14133114435105 is a deficient number, since it is larger than the sum of its proper divisors (10367110457415).

14133114435105 is a wasteful number, since it uses less digits than its factorization.

14133114435105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36237681 (or 36237678 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 14133114435105 its reverse (50153441133141), we get a palindrome (64286555568246).

The spelling of 14133114435105 in words is "fourteen trillion, one hundred thirty-three billion, one hundred fourteen million, four hundred thirty-five thousand, one hundred five".