81734442806016 has 5184 divisors, whose sum is σ = 359084739686400. Its totient is φ = 18172101427200.

The previous prime is 81734442805979. The next prime is 81734442806017. The reversal of 81734442806016 is 61060824443718.

81734442806016 is a `hidden beast` number, since 8 + 1 + 7 + 3 + 4 + 4 + 4 + 28 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is not an unprimeable number, because it can be changed into a prime (81734442806017) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 588017574075 + ... + 588017574213.

It is an arithmetic number, because the mean of its divisors is an integer number (69267889600).

Almost surely, 2^{81734442806016} 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 81734442806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179542369843200).

81734442806016 is an abundant number, since it is smaller than the sum of its proper divisors (277350296880384).

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

81734442806016 is a wasteful number, since it uses less digits than its factorization.

81734442806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 81734442806016 in words is "eighty-one trillion, seven hundred thirty-four billion, four hundred forty-two million, eight hundred six thousand, sixteen".