846368621568 has 220 divisors, whose sum is σ = 2676098524572. Its totient is φ = 265526968320.

The previous prime is 846368621563. The next prime is 846368621573. The reversal of 846368621568 is 865126863648.

It is a happy number.

846368621568 is a `hidden beast` number, since 8 + 4 + 6 + 3 + 6 + 8 + 62 + 1 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (846368621563) and next prime (846368621573).

It can be written as a sum of positive squares in 2 ways, for example, as 295970817024 + 550397804544 = 544032^2 + 741888^2 .

It is not an unprimeable number, because it can be changed into a prime (846368621563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1109928 + ... + 1710168.

Almost surely, 2^846368621568 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 846368621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338049262286).

846368621568 is an abundant number, since it is smaller than the sum of its proper divisors (1829729903004).

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

846368621568 is a wasteful number, since it uses less digits than its factorization.

846368621568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600290 (or 600263 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 846368621568 in words is "eight hundred forty-six billion, three hundred sixty-eight million, six hundred twenty-one thousand, five hundred sixty-eight".