86313218328 has 80 divisors (see below), whose sum is σ = 242431002000. Its totient is φ = 28690853184.

The previous prime is 86313218309. The next prime is 86313218339. The reversal of 86313218328 is 82381231368.

86313218328 is a `hidden beast` number, since 8 + 6 + 313 + 2 + 1 + 8 + 328 = 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47118 + ... + 418146.

It is an arithmetic number, because the mean of its divisors is an integer number (3030387525).

Almost surely, 2^86313218328 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 86313218328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121215501000).

86313218328 is an abundant number, since it is smaller than the sum of its proper divisors (156117783672).

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

86313218328 is a wasteful number, since it uses less digits than its factorization.

86313218328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371406 (or 371393 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 86313218328 in words is "eighty-six billion, three hundred thirteen million, two hundred eighteen thousand, three hundred twenty-eight".