846040320000 has 540 divisors, whose sum is σ = 3064731124455. Its totient is φ = 224778240000.

The previous prime is 846040319977. The next prime is 846040320001. The reversal of 846040320000 is 23040648.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 195604521984 + 650435798016 = 442272^2 + 806496^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=650400.

It is not an unprimeable number, because it can be changed into a prime (846040320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3121919865 + ... + 3121920135.

Almost surely, 2^846040320000 is an apocalyptic number.

846040320000 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 846040320000

846040320000 is an abundant number, since it is smaller than the sum of its proper divisors (2218690804455).

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

846040320000 is an frugal number, since it uses more digits than its factorization.

846040320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

846040320000 divided by its product of nonzero digits (4608) gives a square (183602500 = 13550²).

Adding to 846040320000 its reverse (23040648), we get a palindrome (846063360648).

The spelling of 846040320000 in words is "eight hundred forty-six billion, forty million, three hundred twenty thousand".