81112615069824 has 640 divisors, whose sum is σ = 264838139153280. Its totient is φ = 24493230489600.

The previous prime is 81112615069819. The next prime is 81112615069831. The reversal of 81112615069824 is 42896051621118.

81112615069824 is a `hidden beast` number, since 8 + 1 + 1 + 1 + 26 + 1 + 506 + 98 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 1689223864 + ... + 1689271880.

It is an arithmetic number, because the mean of its divisors is an integer number (413809592427).

Almost surely, 2^{81112615069824} 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 81112615069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132419069576640).

81112615069824 is an abundant number, since it is smaller than the sum of its proper divisors (183725524083456).

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

81112615069824 is a wasteful number, since it uses less digits than its factorization.

81112615069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48290 (or 48269 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 81112615069824 in words is "eighty-one trillion, one hundred twelve billion, six hundred fifteen million, sixty-nine thousand, eight hundred twenty-four".