81722568124848 has 360 divisors, whose sum is σ = 255115565814720. Its totient is φ = 22475867420160.

The previous prime is 81722568124807. The next prime is 81722568124927. The reversal of 81722568124848 is 84842186522718.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654666183 + ... + 654791001.

Almost surely, 2^{81722568124848} 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 81722568124848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127557782907360).

81722568124848 is an abundant number, since it is smaller than the sum of its proper divisors (173392997689872).

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

81722568124848 is a wasteful number, since it uses less digits than its factorization.

81722568124848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125233 (or 125191 counting only the distinct ones).

The product of its digits is 110100480, while the sum is 66.

The spelling of 81722568124848 in words is "eighty-one trillion, seven hundred twenty-two billion, five hundred sixty-eight million, one hundred twenty-four thousand, eight hundred forty-eight".