846093606179328 has 2880 divisors, whose sum is σ = 2964086601315840. Its totient is φ = 239327811993600.

The previous prime is 846093606179299. The next prime is 846093606179347. The reversal of 846093606179328 is 823971606390648.

846093606179328 is a `hidden beast` number, since 8 + 4 + 6 + 0 + 9 + 3 + 606 + 1 + 7 + 9 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 3122116627833 + ... + 3122116628103.

It is an arithmetic number, because the mean of its divisors is an integer number (1029196736568).

Almost surely, 2^{846093606179328} 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 846093606179328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482043300657920).

846093606179328 is an abundant number, since it is smaller than the sum of its proper divisors (2117992995136512).

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

846093606179328 is a wasteful number, since it uses less digits than its factorization.

846093606179328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 846093606179328 in words is "eight hundred forty-six trillion, ninety-three billion, six hundred six million, one hundred seventy-nine thousand, three hundred twenty-eight".