384229216206 has 96 divisors (see below), whose sum is σ = 915876389376. Its totient is φ = 115450272000.

The previous prime is 384229216157. The next prime is 384229216211. The reversal of 384229216206 is 602612922483.

384229216206 is a `hidden beast` number, since 3 + 8 + 4 + 229 + 216 + 206 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11304870 + ... + 11338806.

It is an arithmetic number, because the mean of its divisors is an integer number (9540379056).

Almost surely, 2^384229216206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384229216206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457938194688).

384229216206 is an abundant number, since it is smaller than the sum of its proper divisors (531647173170).

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

384229216206 is a wasteful number, since it uses less digits than its factorization.

384229216206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34438 (or 34435 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 384229216206 in words is "three hundred eighty-four billion, two hundred twenty-nine million, two hundred sixteen thousand, two hundred six".