168966105825 has 48 divisors (see below), whose sum is σ = 304807276800. Its totient is φ = 81908481600.

The previous prime is 168966105823. The next prime is 168966105827. The reversal of 168966105825 is 528501669861.

168966105825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168966105823) and next prime (168966105827).

It is not a de Polignac number, because 168966105825 - 2¹ = 168966105823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (168966105823) 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 47 ways as a sum of consecutive naturals, for example, 5776086 + ... + 5805264.

It is an arithmetic number, because the mean of its divisors is an integer number (6350151600).

Almost surely, 2^168966105825 is an apocalyptic number.

168966105825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168966105825 is a deficient number, since it is larger than the sum of its proper divisors (135841170975).

168966105825 is a wasteful number, since it uses less digits than its factorization.

168966105825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36222 (or 36217 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 168966105825 in words is "one hundred sixty-eight billion, nine hundred sixty-six million, one hundred five thousand, eight hundred twenty-five".