81296800994016 has 192 divisors, whose sum is σ = 240314681779200. Its totient is φ = 26733896736768.

The previous prime is 81296800993981. The next prime is 81296800994047. The reversal of 81296800994016 is 61049900869218.

81296800994016 is a `hidden beast` number, since 81 + 2 + 9 + 68 + 0 + 0 + 99 + 401 + 6 = 666.

81296800994016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82578211 + ... + 83556893.

It is an arithmetic number, because the mean of its divisors is an integer number (1251638967600).

Almost surely, 2^{81296800994016} 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 81296800994016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120157340889600).

81296800994016 is an abundant number, since it is smaller than the sum of its proper divisors (159017880785184).

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

81296800994016 is a wasteful number, since it uses less digits than its factorization.

81296800994016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979998 (or 979984 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 81296800994016 in words is "eighty-one trillion, two hundred ninety-six billion, eight hundred million, nine hundred ninety-four thousand, sixteen".