382532686848 has 132 divisors (see below), whose sum is σ = 1189520960628. Its totient is φ = 117702328320.

The previous prime is 382532686847. The next prime is 382532686849. The reversal of 382532686848 is 848686235283.

382532686848 is a `hidden beast` number, since 38 + 2 + 532 + 6 + 8 + 68 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (382532686847) and next prime (382532686849).

It can be written as a sum of positive squares in 2 ways, for example, as 28612399104 + 353920287744 = 169152^2 + 594912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382532686847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1476633 + ... + 1716248.

It is an arithmetic number, because the mean of its divisors is an integer number (9011522429).

Almost surely, 2^382532686848 is an apocalyptic number.

It is an amenable number.

382532686848 is an abundant number, since it is smaller than the sum of its proper divisors (806988273780).

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

382532686848 is a wasteful number, since it uses less digits than its factorization.

382532686848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192920 (or 3192899 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 382532686848 in words is "three hundred eighty-two billion, five hundred thirty-two million, six hundred eighty-six thousand, eight hundred forty-eight".