163998144 has 84 divisors (see below), whose sum is σ = 474893640. Its totient is φ = 54105600.

The previous prime is 163998071. The next prime is 163998169. The reversal of 163998144 is 441899361.

163998144 is a `hidden beast` number, since 1 + 639 + 9 + 8 + 1 + 4 + 4 = 666.

163998144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 163998144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56767 + ... + 59585.

Almost surely, 2^163998144 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 163998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237446820).

163998144 is an abundant number, since it is smaller than the sum of its proper divisors (310895496).

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

163998144 is a wasteful number, since it uses less digits than its factorization.

163998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2925 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 163998144 is about 12806.1760100352. The cubic root of 163998144 is about 547.3683025952.

The spelling of 163998144 in words is "one hundred sixty-three million, nine hundred ninety-eight thousand, one hundred forty-four".