382250508912 has 320 divisors, whose sum is σ = 1160385730560. Its totient is φ = 120237613056.

The previous prime is 382250508911. The next prime is 382250508931. The reversal of 382250508912 is 219805052283.

382250508912 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 50 + 508 + 91 + 2 = 666.

It is a super-2 number, since 2×382250508912² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382250508911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590804173 + ... + 590804819.

It is an arithmetic number, because the mean of its divisors is an integer number (3626205408).

Almost surely, 2^382250508912 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 382250508912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580192865280).

382250508912 is an abundant number, since it is smaller than the sum of its proper divisors (778135221648).

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

382250508912 is a wasteful number, since it uses less digits than its factorization.

382250508912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 382250508912 in words is "three hundred eighty-two billion, two hundred fifty million, five hundred eight thousand, nine hundred twelve".