163913282038800 has 1080 divisors, whose sum is σ = 681631052731200. Its totient is φ = 36348741273600.

The previous prime is 163913282038771. The next prime is 163913282038819. The reversal of 163913282038800 is 8830282319361.

163913282038800 is a `hidden beast` number, since 1 + 6 + 39 + 1 + 328 + 203 + 8 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1130122285 + ... + 1130267315.

It is an arithmetic number, because the mean of its divisors is an integer number (631139863640).

Almost surely, 2^{163913282038800} is an apocalyptic number.

163913282038800 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 163913282038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340815526365600).

163913282038800 is an abundant number, since it is smaller than the sum of its proper divisors (517717770692400).

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

163913282038800 is a wasteful number, since it uses less digits than its factorization.

163913282038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145261 (or 145240 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 163913282038800 in words is "one hundred sixty-three trillion, nine hundred thirteen billion, two hundred eighty-two million, thirty-eight thousand, eight hundred".