382842246528 has 1344 divisors, whose sum is σ = 1429553761920. Its totient is φ = 101583175680.

The previous prime is 382842246517. The next prime is 382842246551. The reversal of 382842246528 is 825642248283.

It is a happy number.

382842246528 is a `hidden beast` number, since 3 + 82 + 84 + 2 + 2 + 465 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5244414300 + ... + 5244414372.

Almost surely, 2^382842246528 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 382842246528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714776880960).

382842246528 is an abundant number, since it is smaller than the sum of its proper divisors (1046711515392).

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

382842246528 is an equidigital number, since it uses as much as digits as its factorization.

382842246528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 382842246528 in words is "three hundred eighty-two billion, eight hundred forty-two million, two hundred forty-six thousand, five hundred twenty-eight".