13686309000 has 768 divisors, whose sum is σ = 60345492480. Its totient is φ = 2715033600.

The previous prime is 13686308989. The next prime is 13686309019. The reversal of 13686309000 is 90368631.

It is a happy number.

13686309000 is a `hidden beast` number, since 13 + 6 + 8 + 630 + 9 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13922509 + ... + 13923491.

It is an arithmetic number, because the mean of its divisors is an integer number (78574860).

Almost surely, 2^13686309000 is an apocalyptic number.

13686309000 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 13686309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30172746240).

13686309000 is an abundant number, since it is smaller than the sum of its proper divisors (46659183480).

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

13686309000 is a wasteful number, since it uses less digits than its factorization.

13686309000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13686309000 in words is "thirteen billion, six hundred eighty-six million, three hundred nine thousand".