86346664368 has 80 divisors (see below), whose sum is σ = 226974853632. Its totient is φ = 28278432000.

The previous prime is 86346664363. The next prime is 86346664427.

86346664368 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (86346664363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2651223 + ... + 2683593.

Almost surely, 2^86346664368 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 86346664368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113487426816).

86346664368 is an abundant number, since it is smaller than the sum of its proper divisors (140628189264).

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

86346664368 is a wasteful number, since it uses less digits than its factorization.

86346664368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33354 (or 33348 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 60.

The spelling of 86346664368 in words is "eighty-six billion, three hundred forty-six million, six hundred sixty-four thousand, three hundred sixty-eight".