13985668898685 has 288 divisors, whose sum is σ = 29353577250816. Its totient is φ = 6127388467200.

The previous prime is 13985668898681. The next prime is 13985668898693. The reversal of 13985668898685 is 58689886658931.

13985668898685 is a `hidden beast` number, since 1 + 39 + 8 + 566 + 8 + 8 + 9 + 8 + 6 + 8 + 5 = 666.

It is not a de Polignac number, because 13985668898685 - 2² = 13985668898681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13985668898595 and 13985668898604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985668898681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 364409217 + ... + 364447593.

It is an arithmetic number, because the mean of its divisors is an integer number (101922143232).

Almost surely, 2^{13985668898685} is an apocalyptic number.

13985668898685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13985668898685 is an abundant number, since it is smaller than the sum of its proper divisors (15367908352131).

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

13985668898685 is a wasteful number, since it uses less digits than its factorization.

13985668898685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38585 (or 38571 counting only the distinct ones).

The product of its digits is 42998169600, while the sum is 90.

The spelling of 13985668898685 in words is "thirteen trillion, nine hundred eighty-five billion, six hundred sixty-eight million, eight hundred ninety-eight thousand, six hundred eighty-five".