384082056304128 has 480 divisors, whose sum is σ = 1397566935116352. Its totient is φ = 98825718988800.

The previous prime is 384082056304123. The next prime is 384082056304187. The reversal of 384082056304128 is 821403650280483.

384082056304128 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 8 + 205 + 6 + 304 + 128 = 666.

It is a super-2 number, since 2×384082056304128² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384082056304123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6022368 + ... + 28362528.

Almost surely, 2^{384082056304128} 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 384082056304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698783467558176).

384082056304128 is an abundant number, since it is smaller than the sum of its proper divisors (1013484878812224).

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

384082056304128 is a wasteful number, since it uses less digits than its factorization.

384082056304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22340246 (or 22340227 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 384082056304128 in words is "three hundred eighty-four trillion, eighty-two billion, fifty-six million, three hundred four thousand, one hundred twenty-eight".