846041133600 has 1152 divisors, whose sum is σ = 3456116294400. Its totient is φ = 198335692800.

The previous prime is 846041133569. The next prime is 846041133607. The reversal of 846041133600 is 6331140648.

It is a happy number.

846041133600 is a `hidden beast` number, since 8 + 4 + 6 + 0 + 4 + 11 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (846041133607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495049546 + ... + 495051254.

It is an arithmetic number, because the mean of its divisors is an integer number (3000100950).

Almost surely, 2^846041133600 is an apocalyptic number.

846041133600 is a gapful number since it is divisible by the number (80) 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 846041133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728058147200).

846041133600 is an abundant number, since it is smaller than the sum of its proper divisors (2610075160800).

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

846041133600 is a wasteful number, since it uses less digits than its factorization.

846041133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 846041133600 in words is "eight hundred forty-six billion, forty-one million, one hundred thirty-three thousand, six hundred".