81085311468 has 480 divisors, whose sum is σ = 271647129600. Its totient is φ = 20602916352.

The previous prime is 81085311421. The next prime is 81085311469. The reversal of 81085311468 is 86411358018.

81085311468 is a `hidden beast` number, since 8 + 108 + 531 + 1 + 4 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (81085311469) 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 159 ways as a sum of consecutive naturals, for example, 211710805 + ... + 211711187.

It is an arithmetic number, because the mean of its divisors is an integer number (565931520).

Almost surely, 2^81085311468 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 81085311468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135823564800).

81085311468 is an abundant number, since it is smaller than the sum of its proper divisors (190561818132).

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

81085311468 is a wasteful number, since it uses less digits than its factorization.

81085311468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 81085311468 in words is "eighty-one billion, eighty-five million, three hundred eleven thousand, four hundred sixty-eight".