163845168 has 80 divisors (see below), whose sum is σ = 440448000. Its totient is φ = 52427520.

The previous prime is 163845161. The next prime is 163845181. The reversal of 163845168 is 861548361.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (163845161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221343 + ... + 222081.

It is an arithmetic number, because the mean of its divisors is an integer number (5505600).

Almost surely, 2^163845168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163845168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220224000).

163845168 is an abundant number, since it is smaller than the sum of its proper divisors (276602832).

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

163845168 is a wasteful number, since it uses less digits than its factorization.

163845168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 163845168 is about 12800.2018734081. The cubic root of 163845168 is about 547.1980562326.

The spelling of 163845168 in words is "one hundred sixty-three million, eight hundred forty-five thousand, one hundred sixty-eight".