86505466450568 has 48 divisors (see below), whose sum is σ = 186745935890160. Its totient is φ = 37251157788000.

The previous prime is 86505466450547. The next prime is 86505466450661.

It is a happy number.

86505466450568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86505466450498 and 86505466450507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361487158 + ... + 1361550693.

It is an arithmetic number, because the mean of its divisors is an integer number (3890540331045).

Almost surely, 2^{86505466450568} is an apocalyptic number.

86505466450568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86505466450568 is an abundant number, since it is smaller than the sum of its proper divisors (100240469439592).

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

86505466450568 is a wasteful number, since it uses less digits than its factorization.

86505466450568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723037906 (or 2723037883 counting only the distinct ones).

The product of its (nonzero) digits is 829440000, while the sum is 68.

The spelling of 86505466450568 in words is "eighty-six trillion, five hundred five billion, four hundred sixty-six million, four hundred fifty thousand, five hundred sixty-eight".