6105168033966 has 96 divisors (see below), whose sum is σ = 13741640228160. Its totient is φ = 1956617574912.

The previous prime is 6105168033931. The next prime is 6105168033989. The reversal of 6105168033966 is 6693308615016.

6105168033966 is a `hidden beast` number, since 6 + 1 + 0 + 516 + 8 + 0 + 33 + 96 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165491575 + ... + 165528461.

It is an arithmetic number, because the mean of its divisors is an integer number (143142085710).

Almost surely, 2^{6105168033966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105168033966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870820114080).

6105168033966 is an abundant number, since it is smaller than the sum of its proper divisors (7636472194194).

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

6105168033966 is a wasteful number, since it uses less digits than its factorization.

6105168033966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38250 (or 38247 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 6105168033966 in words is "six trillion, one hundred five billion, one hundred sixty-eight million, thirty-three thousand, nine hundred sixty-six".