382486344192 has 200 divisors, whose sum is σ = 1145553734556. Its totient is φ = 127056273408.

The previous prime is 382486344151. The next prime is 382486344193. The reversal of 382486344192 is 291443684283.

It is a happy number.

382486344192 is a `hidden beast` number, since 3 + 8 + 2 + 486 + 34 + 41 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 335268792576 + 47217551616 = 579024^2 + 217296^2 .

It is a super-2 number, since 2×382486344192² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (382486344193) 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 19 ways as a sum of consecutive naturals, for example, 12135558 + ... + 12167034.

Almost surely, 2^382486344192 is an apocalyptic number.

382486344192 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 382486344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572776867278).

382486344192 is an abundant number, since it is smaller than the sum of its proper divisors (763067390364).

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

382486344192 is an equidigital number, since it uses as much as digits as its factorization.

382486344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31800 (or 31775 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 382486344192 in words is "three hundred eighty-two billion, four hundred eighty-six million, three hundred forty-four thousand, one hundred ninety-two".