3168946197120 has 512 divisors, whose sum is σ = 11581358745600. Its totient is φ = 729526026240.

The previous prime is 3168946197091. The next prime is 3168946197121. The reversal of 3168946197120 is 217916498613.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3168946197121) 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 63 ways as a sum of consecutive naturals, for example, 67497174 + ... + 67544106.

It is an arithmetic number, because the mean of its divisors is an integer number (22619841300).

Almost surely, 2^{3168946197120} is an apocalyptic number.

3168946197120 is a gapful number since it is divisible by the number (30) 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 3168946197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790679372800).

3168946197120 is an abundant number, since it is smaller than the sum of its proper divisors (8412412548480).

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

3168946197120 is a wasteful number, since it uses less digits than its factorization.

3168946197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47128 (or 47116 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 3168946197120 in words is "three trillion, one hundred sixty-eight billion, nine hundred forty-six million, one hundred ninety-seven thousand, one hundred twenty".