86164743168 has 352 divisors, whose sum is σ = 308798956800. Its totient is φ = 23169466368.

The previous prime is 86164743143. The next prime is 86164743173. The reversal of 86164743168 is 86134746168.

86164743168 is a `hidden beast` number, since 8 + 6 + 1 + 6 + 474 + 3 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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, 3277018 + ... + 3303206.

Almost surely, 2^86164743168 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 86164743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154399478400).

86164743168 is an abundant number, since it is smaller than the sum of its proper divisors (222634213632).

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

86164743168 is a wasteful number, since it uses less digits than its factorization.

86164743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26242 (or 26218 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 86164743168 in words is "eighty-six billion, one hundred sixty-four million, seven hundred forty-three thousand, one hundred sixty-eight".