384518795712 has 112 divisors (see below), whose sum is σ = 1040875906560. Its totient is φ = 125245366272.

The previous prime is 384518795711. The next prime is 384518795743. The reversal of 384518795712 is 217597815483.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384518795711) 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 15 ways as a sum of consecutive naturals, for example, 1340623 + ... + 1601969.

It is an arithmetic number, because the mean of its divisors is an integer number (9293534880).

Almost surely, 2^384518795712 is an apocalyptic number.

384518795712 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 384518795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520437953280).

384518795712 is an abundant number, since it is smaller than the sum of its proper divisors (656357110848).

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

384518795712 is a wasteful number, since it uses less digits than its factorization.

384518795712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261538 (or 261528 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 60.

The spelling of 384518795712 in words is "three hundred eighty-four billion, five hundred eighteen million, seven hundred ninety-five thousand, seven hundred twelve".