32854585122 has 126 divisors (see below), whose sum is σ = 76249443009. Its totient is φ = 10612393200.

The previous prime is 32854585121. The next prime is 32854585163. The reversal of 32854585122 is 22158545823.

32854585122 is a `hidden beast` number, since 3 + 2 + 8 + 54 + 585 + 12 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22804322121 + 10050263001 = 151011^2 + 100251^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=128169.

It is not an unprimeable number, because it can be changed into a prime (32854585121) 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 62 ways as a sum of consecutive naturals, for example, 325292872 + ... + 325292972.

Almost surely, 2^32854585122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32854585122

32854585122 is an abundant number, since it is smaller than the sum of its proper divisors (43394857887).

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

32854585122 is an frugal number, since it uses more digits than its factorization.

32854585122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 153 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 32854585122 in words is "thirty-two billion, eight hundred fifty-four million, five hundred eighty-five thousand, one hundred twenty-two".