384206115584 has 72 divisors (see below), whose sum is σ = 792884671488. Its totient is φ = 185616368640.

The previous prime is 384206115581. The next prime is 384206115607. The reversal of 384206115584 is 485511602483.

It is a super-2 number, since 2×384206115584² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384206115581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5097179 + ... + 5172005.

It is an arithmetic number, because the mean of its divisors is an integer number (11012287104).

Almost surely, 2^384206115584 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 384206115584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396442335744).

384206115584 is an abundant number, since it is smaller than the sum of its proper divisors (408678555904).

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

384206115584 is an equidigital number, since it uses as much as digits as its factorization.

384206115584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75521 (or 75507 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 384206115584 in words is "three hundred eighty-four billion, two hundred six million, one hundred fifteen thousand, five hundred eighty-four".