14413144115106 has 48 divisors (see below), whose sum is σ = 35860454267040. Its totient is φ = 4137744720960.

The previous prime is 14413144115099. The next prime is 14413144115113. The reversal of 14413144115106 is 60151144131441.

14413144115106 is a `hidden beast` number, since 1 + 4 + 4 + 131 + 4 + 4 + 1 + 1 + 510 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14413144115099) and next prime (14413144115113).

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, 1915618795 + ... + 1915626318.

It is an arithmetic number, because the mean of its divisors is an integer number (747092797230).

Almost surely, 2^{14413144115106} is an apocalyptic number.

14413144115106 is an abundant number, since it is smaller than the sum of its proper divisors (21447310151934).

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

14413144115106 is a wasteful number, since it uses less digits than its factorization.

14413144115106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831245151 (or 3831245148 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 14413144115106 its reverse (60151144131441), we get a palindrome (74564288246547).

The spelling of 14413144115106 in words is "fourteen trillion, four hundred thirteen billion, one hundred forty-four million, one hundred fifteen thousand, one hundred six".