13684725684 has 144 divisors (see below), whose sum is σ = 42603240960. Its totient is φ = 3783749760.

The previous prime is 13684725673. The next prime is 13684725701. The reversal of 13684725684 is 48652748631.

It is a happy number.

13684725684 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 4 + 72 + 568 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13684725684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122344 + ... + 205760.

It is an arithmetic number, because the mean of its divisors is an integer number (295855840).

Almost surely, 2^13684725684 is an apocalyptic number.

13684725684 is a gapful number since it is divisible by the number (14) 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 13684725684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301620480).

13684725684 is an abundant number, since it is smaller than the sum of its proper divisors (28918515276).

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

13684725684 is a wasteful number, since it uses less digits than its factorization.

13684725684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83475 (or 83460 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 13684725684 in words is "thirteen billion, six hundred eighty-four million, seven hundred twenty-five thousand, six hundred eighty-four".