86343533534368 has 48 divisors (see below), whose sum is σ = 185477203761696. Its totient is φ = 39239686736640.

The previous prime is 86343533534351. The next prime is 86343533534369.

86343533534368 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86343533534369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21167271 + ... + 24914662.

It is an arithmetic number, because the mean of its divisors is an integer number (3864108411702).

Almost surely, 2^{86343533534368} is an apocalyptic number.

86343533534368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86343533534368 is an abundant number, since it is smaller than the sum of its proper divisors (99133670227328).

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

86343533534368 is a wasteful number, since it uses less digits than its factorization.

86343533534368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46087277 (or 46087269 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 64.

The spelling of 86343533534368 in words is "eighty-six trillion, three hundred forty-three billion, five hundred thirty-three million, five hundred thirty-four thousand, three hundred sixty-eight".