811253874816 has 448 divisors, whose sum is σ = 3021092222400. Its totient is φ = 210713425920.

The previous prime is 811253874811. The next prime is 811253874887. The reversal of 811253874816 is 618478352118.

811253874816 is a `hidden beast` number, since 8 + 1 + 125 + 38 + 7 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (811253874811) 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 55 ways as a sum of consecutive naturals, for example, 7128570 + ... + 7241478.

It is an arithmetic number, because the mean of its divisors is an integer number (6743509425).

Almost surely, 2^811253874816 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 811253874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510546111200).

811253874816 is an abundant number, since it is smaller than the sum of its proper divisors (2209838347584).

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

811253874816 is a wasteful number, since it uses less digits than its factorization.

811253874816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112959 (or 112932 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 811253874816 in words is "eight hundred eleven billion, two hundred fifty-three million, eight hundred seventy-four thousand, eight hundred sixteen".