382103282016 has 192 divisors, whose sum is σ = 1182393676800. Its totient is φ = 119634905088.

The previous prime is 382103281997. The next prime is 382103282051. The reversal of 382103282016 is 610282301283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7362205 + ... + 7413923.

It is an arithmetic number, because the mean of its divisors is an integer number (6158300400).

Almost surely, 2^382103282016 is an apocalyptic number.

382103282016 is a gapful number since it is divisible by the number (36) 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 382103282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591196838400).

382103282016 is an abundant number, since it is smaller than the sum of its proper divisors (800290394784).

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

382103282016 is a wasteful number, since it uses less digits than its factorization.

382103282016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52258 (or 52244 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 382103282016 its reverse (610282301283), we get a palindrome (992385583299).

The spelling of 382103282016 in words is "three hundred eighty-two billion, one hundred three million, two hundred eighty-two thousand, sixteen".