13685436576 has 576 divisors, whose sum is σ = 48432384000. Its totient is φ = 3657830400.

The previous prime is 13685436571. The next prime is 13685436643. The reversal of 13685436576 is 67563458631.

13685436576 is a `hidden beast` number, since 1 + 3 + 68 + 5 + 4 + 3 + 6 + 576 = 666.

13685436576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13685436571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125554410 + ... + 125554518.

It is an arithmetic number, because the mean of its divisors is an integer number (84084000).

Almost surely, 2^13685436576 is an apocalyptic number.

13685436576 is a gapful number since it is divisible by the number (16) 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 13685436576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192000).

13685436576 is an abundant number, since it is smaller than the sum of its proper divisors (34746947424).

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

13685436576 is a wasteful number, since it uses less digits than its factorization.

13685436576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 13685436576 in words is "thirteen billion, six hundred eighty-five million, four hundred thirty-six thousand, five hundred seventy-six".