382848068232 has 384 divisors, whose sum is σ = 1316300544000. Its totient is φ = 98003727360.

The previous prime is 382848068191. The next prime is 382848068237. The reversal of 382848068232 is 232860848283.

It is a happy number.

382848068232 is a `hidden beast` number, since 3 + 82 + 8 + 480 + 6 + 82 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (382848068237) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19592307 + ... + 19611837.

It is an arithmetic number, because the mean of its divisors is an integer number (3427866000).

Almost surely, 2^382848068232 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 382848068232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658150272000).

382848068232 is an abundant number, since it is smaller than the sum of its proper divisors (933452475768).

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

382848068232 is a wasteful number, since it uses less digits than its factorization.

382848068232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19681 (or 19674 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 382848068232 in words is "three hundred eighty-two billion, eight hundred forty-eight million, sixty-eight thousand, two hundred thirty-two".