163845120384 has 640 divisors, whose sum is σ = 555070095360. Its totient is φ = 47922969600.

The previous prime is 163845120379. The next prime is 163845120407. The reversal of 163845120384 is 483021548361.

163845120384 is a `hidden beast` number, since 1 + 638 + 4 + 5 + 1 + 2 + 0 + 3 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427793857 + ... + 427794239.

It is an arithmetic number, because the mean of its divisors is an integer number (867297024).

Almost surely, 2^163845120384 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 163845120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277535047680).

163845120384 is an abundant number, since it is smaller than the sum of its proper divisors (391224974976).

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

163845120384 is an equidigital number, since it uses as much as digits as its factorization.

163845120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 163845120384 in words is "one hundred sixty-three billion, eight hundred forty-five million, one hundred twenty thousand, three hundred eighty-four".