86491634688 has 132 divisors (see below), whose sum is σ = 260601735888. Its totient is φ = 27576975360.

The previous prime is 86491634641. The next prime is 86491634693. The reversal of 86491634688 is 88643619468.

86491634688 is a `hidden beast` number, since 8 + 6 + 4 + 9 + 163 + 468 + 8 = 666.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7948 + ... + 415988.

Almost surely, 2^86491634688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86491634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130300867944).

86491634688 is an abundant number, since it is smaller than the sum of its proper divisors (174110101200).

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

86491634688 is a wasteful number, since it uses less digits than its factorization.

86491634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408090 (or 408069 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 86491634688 in words is "eighty-six billion, four hundred ninety-one million, six hundred thirty-four thousand, six hundred eighty-eight".