866184632800345 has 16 divisors (see below), whose sum is σ = 1101489625570320. Its totient is φ = 652734592921600.

The previous prime is 866184632800339. The next prime is 866184632800349. The reversal of 866184632800345 is 543008236481668.

It can be written as a sum of positive squares in 8 ways, for example, as 531196084224 + 865653436716121 = 728832^2 + 29421989^2 .

It is not a de Polignac number, because 866184632800345 - 2³ = 866184632800337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (866184632800349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72849837016 + ... + 72849848905.

It is an arithmetic number, because the mean of its divisors is an integer number (68843101598145).

Almost surely, 2^{866184632800345} is an apocalyptic number.

It is an amenable number.

866184632800345 is a deficient number, since it is larger than the sum of its proper divisors (235304992769975).

866184632800345 is a wasteful number, since it uses less digits than its factorization.

866184632800345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145699685996.

The product of its (nonzero) digits is 159252480, while the sum is 64.

The spelling of 866184632800345 in words is "eight hundred sixty-six trillion, one hundred eighty-four billion, six hundred thirty-two million, eight hundred thousand, three hundred forty-five".