13681515456 has 336 divisors, whose sum is σ = 46333769664. Its totient is φ = 3778265088.

The previous prime is 13681515451. The next prime is 13681515457. The reversal of 13681515456 is 65451518631.

It is a happy number.

13681515456 is a `hidden beast` number, since 1 + 3 + 6 + 81 + 515 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13681515451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43710756 + ... + 43711068.

It is an arithmetic number, because the mean of its divisors is an integer number (137898124).

Almost surely, 2^13681515456 is an apocalyptic number.

13681515456 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 13681515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166884832).

13681515456 is an abundant number, since it is smaller than the sum of its proper divisors (32652254208).

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

13681515456 is a wasteful number, since it uses less digits than its factorization.

13681515456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 655 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 13681515456 in words is "thirteen billion, six hundred eighty-one million, five hundred fifteen thousand, four hundred fifty-six".