811072818432 has 432 divisors, whose sum is σ = 2572337109888. Its totient is φ = 254336163840.

The previous prime is 811072818373. The next prime is 811072818443. The reversal of 811072818432 is 234818270118.

811072818432 is a `hidden beast` number, since 81 + 107 + 28 + 18 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

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, 87273178 + ... + 87282470.

Almost surely, 2^811072818432 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 811072818432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286168554944).

811072818432 is an abundant number, since it is smaller than the sum of its proper divisors (1761264291456).

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

811072818432 is an equidigital number, since it uses as much as digits as its factorization.

811072818432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9382 counting only the distinct ones).

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

The spelling of 811072818432 in words is "eight hundred eleven billion, seventy-two million, eight hundred eighteen thousand, four hundred thirty-two".