384818131832832 has 1664 divisors, whose sum is σ = 1225876435660800. Its totient is φ = 119129008766976.

The previous prime is 384818131832821. The next prime is 384818131832837. The reversal of 384818131832832 is 238238131818483.

It is a happy number.

384818131832832 is a `hidden beast` number, since 3 + 8 + 481 + 81 + 3 + 18 + 32 + 8 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 384818131832832.

It is not an unprimeable number, because it can be changed into a prime (384818131832837) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1725641846673 + ... + 1725641846895.

Almost surely, 2^{384818131832832} is an apocalyptic number.

384818131832832 is a gapful number since it is divisible by the number (32) 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 384818131832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612938217830400).

384818131832832 is an abundant number, since it is smaller than the sum of its proper divisors (841058303827968).

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

384818131832832 is a wasteful number, since it uses less digits than its factorization.

384818131832832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 500 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 384818131832832 in words is "three hundred eighty-four trillion, eight hundred eighteen billion, one hundred thirty-one million, eight hundred thirty-two thousand, eight hundred thirty-two".