86148684168 has 128 divisors (see below), whose sum is σ = 229449715200. Its totient is φ = 26877312000.

The previous prime is 86148684143. The next prime is 86148684173.

86148684168 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17053243 + ... + 17058293.

It is an arithmetic number, because the mean of its divisors is an integer number (1792575900).

Almost surely, 2^86148684168 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 86148684168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114724857600).

86148684168 is an abundant number, since it is smaller than the sum of its proper divisors (143301031032).

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

86148684168 is a wasteful number, since it uses less digits than its factorization.

86148684168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5519 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 60.

The spelling of 86148684168 in words is "eighty-six billion, one hundred forty-eight million, six hundred eighty-four thousand, one hundred sixty-eight".