168141864906 has 128 divisors (see below), whose sum is σ = 388797235200. Its totient is φ = 53806032000.

The previous prime is 168141864887. The next prime is 168141864911. The reversal of 168141864906 is 609468141861.

168141864906 is a `hidden beast` number, since 1 + 6 + 8 + 141 + 8 + 6 + 490 + 6 = 666.

168141864906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 127476115 + ... + 127477433.

It is an arithmetic number, because the mean of its divisors is an integer number (3037478400).

Almost surely, 2^168141864906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168141864906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194398617600).

168141864906 is an abundant number, since it is smaller than the sum of its proper divisors (220655370294).

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

168141864906 is a wasteful number, since it uses less digits than its factorization.

168141864906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 168141864906 in words is "one hundred sixty-eight billion, one hundred forty-one million, eight hundred sixty-four thousand, nine hundred six".