163882368168000 has 448 divisors, whose sum is σ = 575687125967616. Its totient is φ = 40936304640000.

The previous prime is 163882368167957. The next prime is 163882368168031. The reversal of 163882368168000 is 861863288361.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85136170 + ... + 87039830.

Almost surely, 2^{163882368168000} is an apocalyptic number.

163882368168000 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 163882368168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287843562983808).

163882368168000 is an abundant number, since it is smaller than the sum of its proper divisors (411804757799616).

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

163882368168000 is a wasteful number, since it uses less digits than its factorization.

163882368168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903919 (or 1903899 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 163882368168000 in words is "one hundred sixty-three trillion, eight hundred eighty-two billion, three hundred sixty-eight million, one hundred sixty-eight thousand".