13985804655585 has 192 divisors, whose sum is σ = 29746724746752. Its totient is φ = 5933006880768.

The previous prime is 13985804655569. The next prime is 13985804655617. The reversal of 13985804655585 is 58555640858931.

13985804655585 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 5 + 8 + 0 + 4 + 65 + 558 + 5 = 666.

It is not a de Polignac number, because 13985804655585 - 2⁴ = 13985804655569 is a prime.

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 191 ways as a sum of consecutive naturals, for example, 2305222722 + ... + 2305228788.

It is an arithmetic number, because the mean of its divisors is an integer number (154930858056).

Almost surely, 2^{13985804655585} is an apocalyptic number.

13985804655585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13985804655585 is an abundant number, since it is smaller than the sum of its proper divisors (15760920091167).

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

13985804655585 is a wasteful number, since it uses less digits than its factorization.

13985804655585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12072 (or 12069 counting only the distinct ones).

The product of its (nonzero) digits is 1036800000, while the sum is 72.

The spelling of 13985804655585 in words is "thirteen trillion, nine hundred eighty-five billion, eight hundred four million, six hundred fifty-five thousand, five hundred eighty-five".