13685994000000 has 2016 divisors, whose sum is σ = 58457204863200. Its totient is φ = 3063513600000.

The previous prime is 13685993999959. The next prime is 13685994000043. The reversal of 13685994000000 is 49958631.

It is a happy number.

13685994000000 is a `hidden beast` number, since 13 + 6 + 8 + 599 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13685994000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 52037999869 + ... + 52038000131.

Almost surely, 2^{13685994000000} is an apocalyptic number.

13685994000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685994000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29228602431600).

13685994000000 is an abundant number, since it is smaller than the sum of its proper divisors (44771210863200).

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

13685994000000 is an frugal number, since it uses more digits than its factorization.

13685994000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13685994000000 in words is "thirteen trillion, six hundred eighty-five billion, nine hundred ninety-four million", and thus it is an aban number.