14414124213135 has 96 divisors (see below), whose sum is σ = 26604040619520. Its totient is φ = 7203313218816.

The previous prime is 14414124213121. The next prime is 14414124213163. The reversal of 14414124213135 is 53131242141441.

14414124213135 is a `hidden beast` number, since 1 + 4 + 41 + 412 + 42 + 131 + 35 = 666.

It is not a de Polignac number, because 14414124213135 - 2⁵ = 14414124213103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14414124213135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35067436 + ... + 35476094.

It is an arithmetic number, because the mean of its divisors is an integer number (277125423120).

Almost surely, 2^{14414124213135} is an apocalyptic number.

14414124213135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14414124213135 is a deficient number, since it is larger than the sum of its proper divisors (12189916406385).

14414124213135 is a wasteful number, since it uses less digits than its factorization.

14414124213135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409389 (or 409386 counting only the distinct ones).

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

Adding to 14414124213135 its reverse (53131242141441), we get a palindrome (67545366354576).

The spelling of 14414124213135 in words is "fourteen trillion, four hundred fourteen billion, one hundred twenty-four million, two hundred thirteen thousand, one hundred thirty-five".