81094687045632 has 480 divisors, whose sum is σ = 261850017068640. Its totient is φ = 24857162219520.

The previous prime is 81094687045613. The next prime is 81094687045643. The reversal of 81094687045632 is 23654078649018.

81094687045632 is a `hidden beast` number, since 8 + 1 + 0 + 9 + 4 + 68 + 7 + 0 + 4 + 563 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 81094687045632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 567099582 + ... + 567242562.

It is an arithmetic number, because the mean of its divisors is an integer number (545520868893).

It is a 1-persistent number, because it is pandigital, but 2⋅81094687045632 = 162189374091264 is not.

Almost surely, 2^{81094687045632} 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 81094687045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130925008534320).

81094687045632 is an abundant number, since it is smaller than the sum of its proper divisors (180755330023008).

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

81094687045632 is a wasteful number, since it uses less digits than its factorization.

81094687045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143291 (or 143262 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 81094687045632 in words is "eighty-one trillion, ninety-four billion, six hundred eighty-seven million, forty-five thousand, six hundred thirty-two".