4483917050688 has 168 divisors, whose sum is σ = 12881329388928. Its totient is φ = 1491271262208.

The previous prime is 4483917050677. The next prime is 4483917050689. The reversal of 4483917050688 is 8860507193844.

4483917050688 is a `hidden beast` number, since 4 + 4 + 8 + 39 + 17 + 0 + 506 + 88 = 666.

It is a super-2 number, since 2×4483917050688² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4483917050689) 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 23 ways as a sum of consecutive naturals, for example, 613643131 + ... + 613650437.

It is an arithmetic number, because the mean of its divisors is an integer number (76674579696).

Almost surely, 2^{4483917050688} is an apocalyptic number.

4483917050688 is a gapful number since it is divisible by the number (48) 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 4483917050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440664694464).

4483917050688 is an abundant number, since it is smaller than the sum of its proper divisors (8397412338240).

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

4483917050688 is a wasteful number, since it uses less digits than its factorization.

4483917050688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4483917050688 in words is "four trillion, four hundred eighty-three billion, nine hundred seventeen million, fifty thousand, six hundred eighty-eight".