81441434081105 has 64 divisors (see below), whose sum is σ = 113048403148800. Its totient is φ = 55170274811904.

The previous prime is 81441434081101. The next prime is 81441434081143. The reversal of 81441434081105 is 50118043414418.

It is a happy number.

It is not a de Polignac number, because 81441434081105 - 2² = 81441434081101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81441434081101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3833068592 + ... + 3833089838.

It is an arithmetic number, because the mean of its divisors is an integer number (1766381299200).

Almost surely, 2^{81441434081105} is an apocalyptic number.

It is an amenable number.

81441434081105 is a deficient number, since it is larger than the sum of its proper divisors (31606969067695).

81441434081105 is a wasteful number, since it uses less digits than its factorization.

81441434081105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24498.

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 81441434081105 in words is "eighty-one trillion, four hundred forty-one billion, four hundred thirty-four million, eighty-one thousand, one hundred five".