13668135715845 has 160 divisors (see below), whose sum is σ = 28252175988960. Its totient is φ = 6261946859520.

The previous prime is 13668135715831. The next prime is 13668135715891. The reversal of 13668135715845 is 54851753186631.

13668135715845 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 8 + 1 + 3 + 571 + 58 + 4 + 5 = 666.

13668135715845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 6361699662081 + 7306436053764 = 2522241^2 + 2703042^2 .

It is not a de Polignac number, because 13668135715845 - 2¹² = 13668135711749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7108035 + ... + 8823855.

It is an arithmetic number, because the mean of its divisors is an integer number (176576099931).

Almost surely, 2^{13668135715845} is an apocalyptic number.

13668135715845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13668135715845 is an abundant number, since it is smaller than the sum of its proper divisors (14584040273115).

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

13668135715845 is a wasteful number, since it uses less digits than its factorization.

13668135715845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715957 (or 1715948 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 13668135715845 in words is "thirteen trillion, six hundred sixty-eight billion, one hundred thirty-five million, seven hundred fifteen thousand, eight hundred forty-five".