81314222241318 has 16 divisors (see below), whose sum is σ = 177412848526656. Its totient is φ = 24640673406440.

The previous prime is 81314222241199. The next prime is 81314222241359.

81314222241318 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×81314222241318² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 81314222241318.

It is a congruent number.

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, 616016835096 + ... + 616016835227.

It is an arithmetic number, because the mean of its divisors is an integer number (11088303032916).

Almost surely, 2^{81314222241318} is an apocalyptic number.

81314222241318 is an abundant number, since it is smaller than the sum of its proper divisors (96098626285338).

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

81314222241318 is a wasteful number, since it uses less digits than its factorization.

81314222241318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232033670339.

The product of its digits is 147456, while the sum is 42.

The spelling of 81314222241318 in words is "eighty-one trillion, three hundred fourteen billion, two hundred twenty-two million, two hundred forty-one thousand, three hundred eighteen".