8182132312818 has 128 divisors (see below), whose sum is σ = 18326743547904. Its totient is φ = 2422037376000.

The previous prime is 8182132312813. The next prime is 8182132312829.

8182132312818 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8182132312818² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8182132312811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64148655 + ... + 64276077.

It is an arithmetic number, because the mean of its divisors is an integer number (143177683968).

Almost surely, 2^{8182132312818} is an apocalyptic number.

8182132312818 is an abundant number, since it is smaller than the sum of its proper divisors (10144611235086).

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

8182132312818 is a wasteful number, since it uses less digits than its factorization.

8182132312818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127840.

The product of its digits is 294912, while the sum is 48.

The spelling of 8182132312818 in words is "eight trillion, one hundred eighty-two billion, one hundred thirty-two million, three hundred twelve thousand, eight hundred eighteen".