13500414114405 has 8 divisors (see below), whose sum is σ = 21600662583072. Its totient is φ = 7200220861008.

The previous prime is 13500414114367. The next prime is 13500414114419. The reversal of 13500414114405 is 50441141400531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13500414114405 - 2³⁵ = 13466054376037 is a prime.

It is a super-2 number, since 2×13500414114405² (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 7 ways as a sum of consecutive naturals, for example, 450013803799 + ... + 450013803828.

It is an arithmetic number, because the mean of its divisors is an integer number (2700082822884).

Almost surely, 2^{13500414114405} is an apocalyptic number.

13500414114405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13500414114405 is a deficient number, since it is larger than the sum of its proper divisors (8100248468667).

13500414114405 is an equidigital number, since it uses as much as digits as its factorization.

13500414114405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900027607635.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 13500414114405 its reverse (50441141400531), we get a palindrome (63941555514936).

The spelling of 13500414114405 in words is "thirteen trillion, five hundred billion, four hundred fourteen million, one hundred fourteen thousand, four hundred five".