81168522882048 has 1056 divisors, whose sum is σ = 287208733593600. Its totient is φ = 22405868421120.

The previous prime is 81168522882047. The next prime is 81168522882091. The reversal of 81168522882048 is 84028822586118.

81168522882048 is a `hidden beast` number, since 8 + 1 + 1 + 6 + 8 + 522 + 88 + 20 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (81168522882047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56642373940 + ... + 56642375372.

Almost surely, 2^{81168522882048} 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 81168522882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143604366796800).

81168522882048 is an abundant number, since it is smaller than the sum of its proper divisors (206040210711552).

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

81168522882048 is a wasteful number, since it uses less digits than its factorization.

81168522882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 63.

The spelling of 81168522882048 in words is "eighty-one trillion, one hundred sixty-eight billion, five hundred twenty-two million, eight hundred eighty-two thousand, forty-eight".