13888285824 has 128 divisors (see below), whose sum is σ = 42198036480. Its totient is φ = 3964584960.

The previous prime is 13888285823. The next prime is 13888285877. The reversal of 13888285824 is 42858288831.

It is a happy number.

13888285824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13888285823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5759179 + ... + 5761589.

It is an arithmetic number, because the mean of its divisors is an integer number (329672160).

Almost surely, 2^13888285824 is an apocalyptic number.

13888285824 is a gapful number since it is divisible by the number (14) 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 13888285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099018240).

13888285824 is an abundant number, since it is smaller than the sum of its proper divisors (28309750656).

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

13888285824 is a wasteful number, since it uses less digits than its factorization.

13888285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4566 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 57.

The spelling of 13888285824 in words is "thirteen billion, eight hundred eighty-eight million, two hundred eighty-five thousand, eight hundred twenty-four".