81504444096 has 336 divisors, whose sum is σ = 257143910400. Its totient is φ = 24584601600.

The previous prime is 81504444089. The next prime is 81504444103. The reversal of 81504444096 is 69044440518.

81504444096 is a `hidden beast` number, since 81 + 5 + 0 + 44 + 440 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (81504444089) and next prime (81504444103).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26800336 + ... + 26803376.

Almost surely, 2^81504444096 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 81504444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128571955200).

81504444096 is an abundant number, since it is smaller than the sum of its proper divisors (175639466304).

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

81504444096 is a wasteful number, since it uses less digits than its factorization.

81504444096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 81504444096 in words is "eighty-one billion, five hundred four million, four hundred forty-four thousand, ninety-six".