8201444352288 has 384 divisors, whose sum is σ = 24849243224064. Its totient is φ = 2344218624000.

The previous prime is 8201444352287. The next prime is 8201444352313. The reversal of 8201444352288 is 8822534441028.

It is a self number, because there is not a number n which added to its sum of digits gives 8201444352288.

It is not an unprimeable number, because it can be changed into a prime (8201444352287) 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 63 ways as a sum of consecutive naturals, for example, 666723738 + ... + 666736038.

It is an arithmetic number, because the mean of its divisors is an integer number (64711570896).

Almost surely, 2^{8201444352288} is an apocalyptic number.

8201444352288 is a gapful number since it is divisible by the number (88) 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 8201444352288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424621612032).

8201444352288 is an abundant number, since it is smaller than the sum of its proper divisors (16647798871776).

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

8201444352288 is a wasteful number, since it uses less digits than its factorization.

8201444352288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 51.

The spelling of 8201444352288 in words is "eight trillion, two hundred one billion, four hundred forty-four million, three hundred fifty-two thousand, two hundred eighty-eight".