13342442675328 has 384 divisors, whose sum is σ = 42737973969600. Its totient is φ = 3969608048640.

The previous prime is 13342442675299. The next prime is 13342442675381. The reversal of 13342442675328 is 82357624424331.

It is a happy number.

13342442675328 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 4 + 42 + 67 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 53774851 + ... + 54022397.

Almost surely, 2^{13342442675328} is an apocalyptic number.

13342442675328 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 13342442675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368986984800).

13342442675328 is an abundant number, since it is smaller than the sum of its proper divisors (29395531294272).

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

13342442675328 is a wasteful number, since it uses less digits than its factorization.

13342442675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247700 (or 247685 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 13342442675328 in words is "thirteen trillion, three hundred forty-two billion, four hundred forty-two million, six hundred seventy-five thousand, three hundred twenty-eight".