3168385760016 has 405 divisors, whose sum is σ = 9663893699733. Its totient is φ = 968887422720.

The previous prime is 3168385759927. The next prime is 3168385760017. The reversal of 3168385760016 is 6100675838613.

The square root of 3168385760016 is 1779996.

It is a perfect power (a square), and thus also a powerful number.

3168385760016 is a `hidden beast` number, since 3 + 1 + 68 + 3 + 8 + 576 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2835115088400 + 333270671616 = 1683780^2 + 577296^2 .

It is not an unprimeable number, because it can be changed into a prime (3168385760017) 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 80 ways as a sum of consecutive naturals, for example, 15016046151 + ... + 15016046361.

Almost surely, 2^{3168385760016} is an apocalyptic number.

3168385760016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3168385760016 is the 1779996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3168385760016

3168385760016 is an abundant number, since it is smaller than the sum of its proper divisors (6495507939717).

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

3168385760016 is a wasteful number, since it uses less digits than its factorization.

3168385760016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3168385760016 in words is "three trillion, one hundred sixty-eight billion, three hundred eighty-five million, seven hundred sixty thousand, sixteen".