13887568512 has 96 divisors (see below), whose sum is σ = 40106076660. Its totient is φ = 4612608000.

The previous prime is 13887568501. The next prime is 13887568529. The reversal of 13887568512 is 21586578831.

13887568512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13111166016 + 776402496 = 114504^2 + 27864^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302262 + ... + 345162.

Almost surely, 2^13887568512 is an apocalyptic number.

13887568512 is a gapful number since it is divisible by the number (12) 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 13887568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20053038330).

13887568512 is an abundant number, since it is smaller than the sum of its proper divisors (26218508148).

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

13887568512 is a wasteful number, since it uses less digits than its factorization.

13887568512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43202 (or 43187 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 13887568512 in words is "thirteen billion, eight hundred eighty-seven million, five hundred sixty-eight thousand, five hundred twelve".