3133182495168 has 756 divisors, whose sum is σ = 10351423686240. Its totient is φ = 904990310400.

The previous prime is 3133182495167. The next prime is 3133182495181. The reversal of 3133182495168 is 8615942813313.

It is a happy number.

3133182495168 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 1 + 82 + 49 + 516 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133182495161) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 5506471588 + ... + 5506472156.

Almost surely, 2^{3133182495168} 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 3133182495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175711843120).

3133182495168 is an abundant number, since it is smaller than the sum of its proper divisors (7218241191072).

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

3133182495168 is a wasteful number, since it uses less digits than its factorization.

3133182495168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 673 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 3133182495168 in words is "three trillion, one hundred thirty-three billion, one hundred eighty-two million, four hundred ninety-five thousand, one hundred sixty-eight".