86376644667368 has 32 divisors (see below), whose sum is σ = 178300413324000. Its totient is φ = 38901908352960.

The previous prime is 86376644667353. The next prime is 86376644667421.

86376644667368 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86376644667368³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86376644667292 and 86376644667301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4502526098 + ... + 4502545281.

It is an arithmetic number, because the mean of its divisors is an integer number (5571887916375).

Almost surely, 2^{86376644667368} is an apocalyptic number.

86376644667368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86376644667368 is an abundant number, since it is smaller than the sum of its proper divisors (91923768656632).

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

86376644667368 is a wasteful number, since it uses less digits than its factorization.

86376644667368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005071505 (or 9005071501 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 80.

The spelling of 86376644667368 in words is "eighty-six trillion, three hundred seventy-six billion, six hundred forty-four million, six hundred sixty-seven thousand, three hundred sixty-eight".