4484245663800 has 288 divisors, whose sum is σ = 17267038588800. Its totient is φ = 1021630890240.

The previous prime is 4484245663727. The next prime is 4484245663813. The reversal of 4484245663800 is 83665424844.

It is a happy number.

4484245663800 is a `hidden beast` number, since 4 + 4 + 8 + 42 + 4 + 566 + 38 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3288571 + ... + 4447829.

It is an arithmetic number, because the mean of its divisors is an integer number (59954995100).

Almost surely, 2^{4484245663800} is an apocalyptic number.

4484245663800 is a gapful number since it is divisible by the number (40) 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 4484245663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633519294400).

4484245663800 is an abundant number, since it is smaller than the sum of its proper divisors (12782792925000).

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

4484245663800 is a wasteful number, since it uses less digits than its factorization.

4484245663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159595 (or 1159583 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 4484245663800 in words is "four trillion, four hundred eighty-four billion, two hundred forty-five million, six hundred sixty-three thousand, eight hundred".