86148846576 has 180 divisors, whose sum is σ = 261447323592. Its totient is φ = 26324393472.

The previous prime is 86148846571. The next prime is 86148846593. The reversal of 86148846576 is 67564884168.

86148846576 is a `hidden beast` number, since 8 + 6 + 14 + 8 + 8 + 46 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86148846571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46141995 + ... + 46143861.

Almost surely, 2^86148846576 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 86148846576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130723661796).

86148846576 is an abundant number, since it is smaller than the sum of its proper divisors (175298477016).

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

86148846576 is a wasteful number, since it uses less digits than its factorization.

86148846576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2042 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 86148846576 in words is "eighty-six billion, one hundred forty-eight million, eight hundred forty-six thousand, five hundred seventy-six".