163848105120 has 576 divisors, whose sum is σ = 637182443520. Its totient is φ = 35188328448.

The previous prime is 163848105089. The next prime is 163848105151. The reversal of 163848105120 is 21501848361.

It is an interprime number because it is at equal distance from previous prime (163848105089) and next prime (163848105151).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56752317 + ... + 56755203.

It is an arithmetic number, because the mean of its divisors is an integer number (1106219520).

Almost surely, 2^163848105120 is an apocalyptic number.

163848105120 is a gapful number since it is divisible by the number (10) 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 163848105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318591221760).

163848105120 is an abundant number, since it is smaller than the sum of its proper divisors (473334338400).

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

163848105120 is a wasteful number, since it uses less digits than its factorization.

163848105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 163848105120 in words is "one hundred sixty-three billion, eight hundred forty-eight million, one hundred five thousand, one hundred twenty".