13395684096 has 252 divisors, whose sum is σ = 40414724280. Its totient is φ = 4429209600.

The previous prime is 13395684077. The next prime is 13395684103. The reversal of 13395684096 is 69048659331.

13395684096 is a `hidden beast` number, since 1 + 3 + 39 + 568 + 40 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33405496 + ... + 33405896.

It is an arithmetic number, because the mean of its divisors is an integer number (160375890).

Almost surely, 2^13395684096 is an apocalyptic number.

13395684096 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 13395684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20207362140).

13395684096 is an abundant number, since it is smaller than the sum of its proper divisors (27019040184).

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

13395684096 is an frugal number, since it uses more digits than its factorization.

13395684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13395684096 in words is "thirteen billion, three hundred ninety-five million, six hundred eighty-four thousand, ninety-six".