4163845224 has 192 divisors, whose sum is σ = 13846896000. Its totient is φ = 1017815040.

The previous prime is 4163845223. The next prime is 4163845229. The reversal of 4163845224 is 4225483614.

It is a super-3 number, since 3×4163845224³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163845223) 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 47 ways as a sum of consecutive naturals, for example, 339552 + ... + 351600.

It is an arithmetic number, because the mean of its divisors is an integer number (72119250).

Almost surely, 2^4163845224 is an apocalyptic number.

4163845224 is a gapful number since it is divisible by the number (44) 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 4163845224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923448000).

4163845224 is an abundant number, since it is smaller than the sum of its proper divisors (9683050776).

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

4163845224 is a wasteful number, since it uses less digits than its factorization.

4163845224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12089 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 4163845224 is about 64527.8639348925. The cubic root of 4163845224 is about 1608.7856826040.

The spelling of 4163845224 in words is "four billion, one hundred sixty-three million, eight hundred forty-five thousand, two hundred twenty-four".