133163242406624 has 192 divisors, whose sum is σ = 290902573281600. Its totient is φ = 59717754421248.

The previous prime is 133163242406561. The next prime is 133163242406627. The reversal of 133163242406624 is 426604242361331.

133163242406624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133163242406627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790403804 + ... + 790572260.

It is an arithmetic number, because the mean of its divisors is an integer number (1515117569175).

Almost surely, 2^{133163242406624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133163242406624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145451286640800).

133163242406624 is an abundant number, since it is smaller than the sum of its proper divisors (157739330874976).

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

133163242406624 is a wasteful number, since it uses less digits than its factorization.

133163242406624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169165 (or 169157 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 47.

Adding to 133163242406624 its reverse (426604242361331), we get a palindrome (559767484767955).

The spelling of 133163242406624 in words is "one hundred thirty-three trillion, one hundred sixty-three billion, two hundred forty-two million, four hundred six thousand, six hundred twenty-four".