13384446075 has 576 divisors, whose sum is σ = 34941763584. Its totient is φ = 4898880000.

The previous prime is 13384446073. The next prime is 13384446109. The reversal of 13384446075 is 57064448331.

13384446075 is a `hidden beast` number, since 1 + 3 + 38 + 4 + 4 + 4 + 607 + 5 = 666.

It is not a de Polignac number, because 13384446075 - 2¹ = 13384446073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13384446075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384446073) 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 575 ways as a sum of consecutive naturals, for example, 188513290 + ... + 188513360.

It is an arithmetic number, because the mean of its divisors is an integer number (60662784).

Almost surely, 2^13384446075 is an apocalyptic number.

13384446075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13384446075 is an abundant number, since it is smaller than the sum of its proper divisors (21557317509).

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

13384446075 is a wasteful number, since it uses less digits than its factorization.

13384446075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13384446075 in words is "thirteen billion, three hundred eighty-four million, four hundred forty-six thousand, seventy-five".