811348032456 has 448 divisors, whose sum is σ = 2669158464000. Its totient is φ = 228864476160.

The previous prime is 811348032427. The next prime is 811348032493. The reversal of 811348032456 is 654230843118.

811348032456 is a `hidden beast` number, since 8 + 113 + 4 + 80 + 3 + 2 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44646540 + ... + 44664708.

It is an arithmetic number, because the mean of its divisors is an integer number (5957943000).

Almost surely, 2^811348032456 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 811348032456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334579232000).

811348032456 is an abundant number, since it is smaller than the sum of its proper divisors (1857810431544).

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

811348032456 is a wasteful number, since it uses less digits than its factorization.

811348032456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18256 (or 18237 counting only the distinct ones).

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

The spelling of 811348032456 in words is "eight hundred eleven billion, three hundred forty-eight million, thirty-two thousand, four hundred fifty-six".