846121653216000 has 2016 divisors, whose sum is σ = 3615211534910976. Its totient is φ = 193211827200000.

The previous prime is 846121653215981. The next prime is 846121653216083. The reversal of 846121653216000 is 612356121648.

846121653216000 is a `hidden beast` number, since 8 + 4 + 6 + 1 + 2 + 1 + 6 + 5 + 32 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 236942494215 + ... + 236942497785.

It is an arithmetic number, because the mean of its divisors is an integer number (1793259689936).

Almost surely, 2^{846121653216000} is an apocalyptic number.

846121653216000 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 846121653216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807605767455488).

846121653216000 is an abundant number, since it is smaller than the sum of its proper divisors (2769089881694976).

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

846121653216000 is an equidigital number, since it uses as much as digits as its factorization.

846121653216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 846121653216000 in words is "eight hundred forty-six trillion, one hundred twenty-one billion, six hundred fifty-three million, two hundred sixteen thousand".