81100411622784 has 384 divisors, whose sum is σ = 251706038438400. Its totient is φ = 25969859794944.

The previous prime is 81100411622777. The next prime is 81100411622809. The reversal of 81100411622784 is 48722611400118.

81100411622784 is a `hidden beast` number, since 8 + 1 + 1 + 0 + 0 + 4 + 11 + 622 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90470979 + ... + 91363005.

It is an arithmetic number, because the mean of its divisors is an integer number (655484475100).

Almost surely, 2^{81100411622784} 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 81100411622784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125853019219200).

81100411622784 is an abundant number, since it is smaller than the sum of its proper divisors (170605626815616).

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

81100411622784 is an equidigital number, since it uses as much as digits as its factorization.

81100411622784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892172 (or 892148 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 81100411622784 in words is "eighty-one trillion, one hundred billion, four hundred eleven million, six hundred twenty-two thousand, seven hundred eighty-four".