81430824384 has 336 divisors, whose sum is σ = 290078111232. Its totient is φ = 21266343936.

The previous prime is 81430824383. The next prime is 81430824389. The reversal of 81430824384 is 48342803418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81430824383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5391307 + ... + 5406389.

It is an arithmetic number, because the mean of its divisors is an integer number (863327712).

Almost surely, 2^81430824384 is an apocalyptic number.

81430824384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81430824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145039055616).

81430824384 is an abundant number, since it is smaller than the sum of its proper divisors (208647286848).

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

81430824384 is a wasteful number, since it uses less digits than its factorization.

81430824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224 (or 15211 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 81430824384 in words is "eighty-one billion, four hundred thirty million, eight hundred twenty-four thousand, three hundred eighty-four".