86171365644 has 96 divisors (see below), whose sum is σ = 248131107840. Its totient is φ = 22665477888.

The previous prime is 86171365613. The next prime is 86171365661. The reversal of 86171365644 is 44656317168.

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 31 ways as a sum of consecutive naturals, for example, 301537 + ... + 513095.

It is an arithmetic number, because the mean of its divisors is an integer number (2584699040).

Almost surely, 2^86171365644 is an apocalyptic number.

86171365644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86171365644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124065553920).

86171365644 is an abundant number, since it is smaller than the sum of its proper divisors (161959742196).

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

86171365644 is a wasteful number, since it uses less digits than its factorization.

86171365644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211959 (or 211957 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 86171365644 in words is "eighty-six billion, one hundred seventy-one million, three hundred sixty-five thousand, six hundred forty-four".