86181686928 has 30 divisors (see below), whose sum is σ = 241189027014. Its totient is φ = 28727228928.

The previous prime is 86181686887. The next prime is 86181686933. The reversal of 86181686928 is 82968618168.

86181686928 is a `hidden beast` number, since 8 + 618 + 1 + 6 + 8 + 6 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67676981904 + 18504705024 = 260148^2 + 136032^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 299241825 + ... + 299242112.

Almost surely, 2^86181686928 is an apocalyptic number.

It is an amenable number.

86181686928 is an abundant number, since it is smaller than the sum of its proper divisors (155007340086).

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

86181686928 is a wasteful number, since it uses less digits than its factorization.

86181686928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598483951 (or 598483942 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The spelling of 86181686928 in words is "eighty-six billion, one hundred eighty-one million, six hundred eighty-six thousand, nine hundred twenty-eight".