81410018206608 has 1280 divisors, whose sum is σ = 306696814592000. Its totient is φ = 20776933900800.

The previous prime is 81410018206589. The next prime is 81410018206651. The reversal of 81410018206608 is 80660281001418.

81410018206608 is a `hidden beast` number, since 8 + 1 + 4 + 1 + 0 + 0 + 18 + 20 + 6 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4836900753 + ... + 4836917583.

It is an arithmetic number, because the mean of its divisors is an integer number (239606886400).

Almost surely, 2^{81410018206608} 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 81410018206608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153348407296000).

81410018206608 is an abundant number, since it is smaller than the sum of its proper divisors (225286796385392).

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

81410018206608 is a wasteful number, since it uses less digits than its factorization.

81410018206608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16925 (or 16887 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 81410018206608 in words is "eighty-one trillion, four hundred ten billion, eighteen million, two hundred six thousand, six hundred eight".