811600846848 has 448 divisors, whose sum is σ = 2655461491200. Its totient is φ = 242916065280.

The previous prime is 811600846789. The next prime is 811600846867. The reversal of 811600846848 is 848648006118.

It is a happy number.

811600846848 is a `hidden beast` number, since 81 + 1 + 60 + 0 + 8 + 468 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 811600846794 and 811600846803.

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 31 ways as a sum of consecutive naturals, for example, 201938983 + ... + 201943001.

It is an arithmetic number, because the mean of its divisors is an integer number (5927369400).

Almost surely, 2^811600846848 is an apocalyptic number.

811600846848 is a gapful number since it is divisible by the number (88) 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 811600846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327730745600).

811600846848 is an abundant number, since it is smaller than the sum of its proper divisors (1843860644352).

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

811600846848 is a wasteful number, since it uses less digits than its factorization.

811600846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 811600846848 in words is "eight hundred eleven billion, six hundred million, eight hundred forty-six thousand, eight hundred forty-eight".