163875219144 has 256 divisors, whose sum is σ = 538397798400. Its totient is φ = 40378770432.

The previous prime is 163875219071. The next prime is 163875219163. The reversal of 163875219144 is 441912578361.

163875219144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×163875219144³ (a number of 35 digits) contains 333 as substring.

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, 2122042 + ... + 2197910.

It is an arithmetic number, because the mean of its divisors is an integer number (2103116400).

Almost surely, 2^163875219144 is an apocalyptic number.

163875219144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163875219144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269198899200).

163875219144 is an abundant number, since it is smaller than the sum of its proper divisors (374522579256).

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

163875219144 is a wasteful number, since it uses less digits than its factorization.

163875219144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75964 (or 75960 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 163875219144 in words is "one hundred sixty-three billion, eight hundred seventy-five million, two hundred nineteen thousand, one hundred forty-four".