384547993128 has 320 divisors, whose sum is σ = 1235520594000. Its totient is φ = 111355305984.

The previous prime is 384547993097. The next prime is 384547993157. The reversal of 384547993128 is 821399745483.

384547993128 is a `hidden beast` number, since 3 + 8 + 454 + 79 + 93 + 1 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14375530404 + 370172462724 = 119898^2 + 608418^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24194208 + ... + 24210096.

Almost surely, 2^384547993128 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 384547993128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617760297000).

384547993128 is an abundant number, since it is smaller than the sum of its proper divisors (850972600872).

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

384547993128 is a wasteful number, since it uses less digits than its factorization.

384547993128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15963 (or 15924 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 384547993128 in words is "three hundred eighty-four billion, five hundred forty-seven million, nine hundred ninety-three thousand, one hundred twenty-eight".