13775344128 has 810 divisors, whose sum is σ = 52853032089. Its totient is φ = 3441844224.

The previous prime is 13775344127. The next prime is 13775344151. The reversal of 13775344128 is 82144357731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13775344128 is a `hidden beast` number, since 1 + 3 + 77 + 534 + 41 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11778326784 + 1997017344 = 108528^2 + 44688^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=82992.

It is not an unprimeable number, because it can be changed into a prime (13775344127) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 725018103 + ... + 725018121.

Almost surely, 2^13775344128 is an apocalyptic number.

13775344128 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 13775344128

13775344128 is an abundant number, since it is smaller than the sum of its proper divisors (39077687961).

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

13775344128 is a wasteful number, since it uses less digits than its factorization.

13775344128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 44 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 13775344128 in words is "thirteen billion, seven hundred seventy-five million, three hundred forty-four thousand, one hundred twenty-eight".