384161085000 has 720 divisors, whose sum is σ = 1633382150400. Its totient is φ = 79817760000.

The previous prime is 384161084969. The next prime is 384161085023. The reversal of 384161085000 is 580161483.

384161085000 is a `hidden beast` number, since 3 + 8 + 41 + 6 + 108 + 500 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 38109961 + ... + 38120039.

It is an arithmetic number, because the mean of its divisors is an integer number (2268586320).

Almost surely, 2^384161085000 is an apocalyptic number.

384161085000 is a gapful number since it is divisible by the number (30) 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 384161085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816691075200).

384161085000 is an abundant number, since it is smaller than the sum of its proper divisors (1249221065400).

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

384161085000 is a wasteful number, since it uses less digits than its factorization.

384161085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 384161085000 in words is "three hundred eighty-four billion, one hundred sixty-one million, eighty-five thousand".