846146112000 has 480 divisors, whose sum is σ = 3272562596160. Its totient is φ = 193402675200.

The previous prime is 846146111971. The next prime is 846146112061. The reversal of 846146112000 is 211641648.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9363031 + ... + 9452969.

It is an arithmetic number, because the mean of its divisors is an integer number (6817838742).

Almost surely, 2^846146112000 is an apocalyptic number.

846146112000 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 846146112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636281298080).

846146112000 is an abundant number, since it is smaller than the sum of its proper divisors (2426416484160).

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

846146112000 is an equidigital number, since it uses as much as digits as its factorization.

846146112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89989 (or 89956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 846146112000 its reverse (211641648), we get a palindrome (846357753648).

The spelling of 846146112000 in words is "eight hundred forty-six billion, one hundred forty-six million, one hundred twelve thousand".