81316818266112 has 1536 divisors, whose sum is σ = 288837529344000. Its totient is φ = 22280695971840.

The previous prime is 81316818266087. The next prime is 81316818266113. The reversal of 81316818266112 is 21166281861318.

81316818266112 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 6 + 8 + 18 + 2 + 6 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×81316818266112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81316818266113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103325054583 + ... + 103325055369.

It is an arithmetic number, because the mean of its divisors is an integer number (188045266500).

Almost surely, 2^{81316818266112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81316818266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144418764672000).

81316818266112 is an abundant number, since it is smaller than the sum of its proper divisors (207520711077888).

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

81316818266112 is a wasteful number, since it uses less digits than its factorization.

81316818266112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1068 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 81316818266112 in words is "eighty-one trillion, three hundred sixteen billion, eight hundred eighteen million, two hundred sixty-six thousand, one hundred twelve".