13539322368 has 480 divisors, whose sum is σ = 47669573952. Its totient is φ = 3782246400.

The previous prime is 13539322339. The next prime is 13539322387. The reversal of 13539322368 is 86322393531.

13539322368 is a `hidden beast` number, since 1 + 3 + 539 + 32 + 23 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17791108 + ... + 17791868.

Almost surely, 2^13539322368 is an apocalyptic number.

13539322368 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 13539322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23834786976).

13539322368 is an abundant number, since it is smaller than the sum of its proper divisors (34130251584).

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

13539322368 is an equidigital number, since it uses as much as digits as its factorization.

13539322368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 790 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 13539322368 in words is "thirteen billion, five hundred thirty-nine million, three hundred twenty-two thousand, three hundred sixty-eight".