5846768441600 has 216 divisors, whose sum is σ = 14946584190720. Its totient is φ = 2262039552000.

The previous prime is 5846768441593. The next prime is 5846768441603. The reversal of 5846768441600 is 61448676485.

It is a super-2 number, since 2×5846768441600² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5846768441600.

It is not an unprimeable number, because it can be changed into a prime (5846768441603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 422783486 + ... + 422797314.

Almost surely, 2^{5846768441600} is an apocalyptic number.

5846768441600 is a gapful number since it is divisible by the number (50) 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 5846768441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473292095360).

5846768441600 is an abundant number, since it is smaller than the sum of its proper divisors (9099815749120).

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

5846768441600 is a wasteful number, since it uses less digits than its factorization.

5846768441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16017 (or 15998 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 59.

The spelling of 5846768441600 in words is "five trillion, eight hundred forty-six billion, seven hundred sixty-eight million, four hundred forty-one thousand, six hundred".