81300941568 has 648 divisors, whose sum is σ = 305570347264. Its totient is φ = 21103441920.

The previous prime is 81300941531. The next prime is 81300941569. The reversal of 81300941568 is 86514900318.

81300941568 is a `hidden beast` number, since 81 + 3 + 0 + 0 + 9 + 4 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is not an unprimeable number, because it can be changed into a prime (81300941569) by changing a digit.

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, 52689405 + ... + 52690947.

Almost surely, 2^81300941568 is an apocalyptic number.

81300941568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81300941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152785173632).

81300941568 is an abundant number, since it is smaller than the sum of its proper divisors (224269405696).

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

81300941568 is a wasteful number, since it uses less digits than its factorization.

81300941568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 81300941568 in words is "eighty-one billion, three hundred million, nine hundred forty-one thousand, five hundred sixty-eight".