13888240128 has 640 divisors, whose sum is σ = 50086080000. Its totient is φ = 3793305600.

The previous prime is 13888240103. The next prime is 13888240181. The reversal of 13888240128 is 82104288831.

It is a happy number.

13888240128 is a `hidden beast` number, since 1 + 388 + 8 + 240 + 1 + 28 = 666.

13888240128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 137507278 + ... + 137507378.

It is an arithmetic number, because the mean of its divisors is an integer number (78259500).

Almost surely, 2^13888240128 is an apocalyptic number.

13888240128 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 13888240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040000).

13888240128 is an abundant number, since it is smaller than the sum of its proper divisors (36197839872).

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

13888240128 is an equidigital number, since it uses as much as digits as its factorization.

13888240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

It can be divided in two parts, 13888 and 240128, that added together give a square (254016 = 504²).

The spelling of 13888240128 in words is "thirteen billion, eight hundred eighty-eight million, two hundred forty thousand, one hundred twenty-eight".