163838112 has 48 divisors (see below), whose sum is σ = 455378112. Its totient is φ = 51399680.

The previous prime is 163838089. The next prime is 163838113. The reversal of 163838112 is 211838361.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (163838113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48564 + ... + 51827.

It is an arithmetic number, because the mean of its divisors is an integer number (9487044).

Almost surely, 2^163838112 is an apocalyptic number.

163838112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

163838112 is an abundant number, since it is smaller than the sum of its proper divisors (291540000).

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

163838112 is a wasteful number, since it uses less digits than its factorization.

163838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100421 (or 100413 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 163838112 is about 12799.9262497875. The cubic root of 163838112 is about 547.1902010830.

The spelling of 163838112 in words is "one hundred sixty-three million, eight hundred thirty-eight thousand, one hundred twelve".