8444411052 has 192 divisors, whose sum is σ = 25593200640. Its totient is φ = 2102688000.

The previous prime is 8444411051. The next prime is 8444411117. The reversal of 8444411052 is 2501144448.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8444411051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4045153 + ... + 4047239.

It is an arithmetic number, because the mean of its divisors is an integer number (133297920).

Almost surely, 2^8444411052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8444411052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796600320).

8444411052 is an abundant number, since it is smaller than the sum of its proper divisors (17148789588).

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

8444411052 is a wasteful number, since it uses less digits than its factorization.

8444411052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 8444411052 is about 91893.4766563982. The cubic root of 8444411052 is about 2036.3688972385.

The spelling of 8444411052 in words is "eight billion, four hundred forty-four million, four hundred eleven thousand, fifty-two".