382825315808 has 144 divisors (see below), whose sum is σ = 907601955120. Its totient is φ = 157541842944.

The previous prime is 382825315801. The next prime is 382825315813. The reversal of 382825315808 is 808513528283.

It is a self number, because there is not a number n which added to its sum of digits gives 382825315808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382825315801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200460 + ... + 2368052.

It is an arithmetic number, because the mean of its divisors is an integer number (6302791355).

Almost surely, 2^382825315808 is an apocalyptic number.

382825315808 is a gapful number since it is divisible by the number (38) 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 382825315808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453800977560).

382825315808 is an abundant number, since it is smaller than the sum of its proper divisors (524776639312).

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

382825315808 is a wasteful number, since it uses less digits than its factorization.

382825315808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167669 (or 167644 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The spelling of 382825315808 in words is "three hundred eighty-two billion, eight hundred twenty-five million, three hundred fifteen thousand, eight hundred eight".