846146044800 has 768 divisors, whose sum is σ = 3559936435200. Its totient is φ = 192263086080.

The previous prime is 846146044771. The next prime is 846146044823. The reversal of 846146044800 is 8440641648.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104626357 + ... + 104634443.

It is an arithmetic number, because the mean of its divisors is an integer number (4635333900).

Almost surely, 2^846146044800 is an apocalyptic number.

846146044800 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 846146044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779968217600).

846146044800 is an abundant number, since it is smaller than the sum of its proper divisors (2713790390400).

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

846146044800 is a wasteful number, since it uses less digits than its factorization.

846146044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 846146044800 in words is "eight hundred forty-six billion, one hundred forty-six million, forty-four thousand, eight hundred".