86006344608 has 36 divisors (see below), whose sum is σ = 244580543298. Its totient is φ = 28668781440.

The previous prime is 86006344583. The next prime is 86006344621. The reversal of 86006344608 is 80644360068.

86006344608 is a `hidden beast` number, since 8 + 6 + 0 + 0 + 6 + 34 + 4 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63861333264 + 22145011344 = 252708^2 + 148812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 149316283 + ... + 149316858.

Almost surely, 2^86006344608 is an apocalyptic number.

It is an amenable number.

86006344608 is an abundant number, since it is smaller than the sum of its proper divisors (158574198690).

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

86006344608 is a wasteful number, since it uses less digits than its factorization.

86006344608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298633157 (or 298633146 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 86006344608 in words is "eighty-six billion, six million, three hundred forty-four thousand, six hundred eight".