81516431106768 has 480 divisors, whose sum is σ = 258030351000576. Its totient is φ = 22068255154176.

The previous prime is 81516431106743. The next prime is 81516431106779. The reversal of 81516431106768 is 86760113461518.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2707002880 + ... + 2707032992.

Almost surely, 2^{81516431106768} 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 81516431106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129015175500288).

81516431106768 is an abundant number, since it is smaller than the sum of its proper divisors (176513919893808).

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

81516431106768 is a wasteful number, since it uses less digits than its factorization.

81516431106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30631 (or 30618 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 81516431106768 in words is "eighty-one trillion, five hundred sixteen billion, four hundred thirty-one million, one hundred six thousand, seven hundred sixty-eight".