13336987968 has 168 divisors, whose sum is σ = 40715918568. Its totient is φ = 4159438848.

The previous prime is 13336987919. The next prime is 13336987981. The reversal of 13336987968 is 86978963331.

13336987968 is a `hidden beast` number, since 133 + 369 + 87 + 9 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2795448384 + 10541539584 = 52872^2 + 102672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690080 + ... + 1697952.

Almost surely, 2^13336987968 is an apocalyptic number.

13336987968 is a gapful number since it is divisible by the number (18) 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 13336987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357959284).

13336987968 is an abundant number, since it is smaller than the sum of its proper divisors (27378930600).

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

13336987968 is a wasteful number, since it uses less digits than its factorization.

13336987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8068 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 13336987968 in words is "thirteen billion, three hundred thirty-six million, nine hundred eighty-seven thousand, nine hundred sixty-eight".