13936589568 has 144 divisors (see below), whose sum is σ = 44959824000. Its totient is φ = 4223185920.

The previous prime is 13936589561. The next prime is 13936589587. The reversal of 13936589568 is 86598563931.

13936589568 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 65 + 8 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13936589561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15618 + ... + 167681.

It is an arithmetic number, because the mean of its divisors is an integer number (312221000).

Almost surely, 2^13936589568 is an apocalyptic number.

13936589568 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 13936589568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22479912000).

13936589568 is an abundant number, since it is smaller than the sum of its proper divisors (31023234432).

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

13936589568 is a wasteful number, since it uses less digits than its factorization.

13936589568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183335 (or 183315 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 13936589568 in words is "thirteen billion, nine hundred thirty-six million, five hundred eighty-nine thousand, five hundred sixty-eight".