384542816256 has 960 divisors, whose sum is σ = 1272526295040. Its totient is φ = 115378421760.

The previous prime is 384542816167. The next prime is 384542816261. The reversal of 384542816256 is 652618245483.

384542816256 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 4 + 2 + 8 + 1 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11059200) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8181762025 + ... + 8181762071.

It is an arithmetic number, because the mean of its divisors is an integer number (1325548224).

Almost surely, 2^384542816256 is an apocalyptic number.

384542816256 is a gapful number since it is divisible by the number (36) 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 384542816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636263147520).

384542816256 is an abundant number, since it is smaller than the sum of its proper divisors (887983478784).

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

384542816256 is a wasteful number, since it uses less digits than its factorization.

384542816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 384542816256 in words is "three hundred eighty-four billion, five hundred forty-two million, eight hundred sixteen thousand, two hundred fifty-six".