8981265216 has 448 divisors, whose sum is σ = 31493984256. Its totient is φ = 2189721600.

The previous prime is 8981265187. The next prime is 8981265217. The reversal of 8981265216 is 6125621898.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (414720) is a multiple of the sum of its prime divisors (540).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8981265217) 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, 20741736 + ... + 20742168.

It is an arithmetic number, because the mean of its divisors is an integer number (70299072).

Almost surely, 2^8981265216 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 8981265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746992128).

8981265216 is an abundant number, since it is smaller than the sum of its proper divisors (22512719040).

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

8981265216 is a wasteful number, since it uses less digits than its factorization.

8981265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 8981265216 is about 94769.5373841194. The cubic root of 8981265216 is about 2078.6394899806.

The spelling of 8981265216 in words is "eight billion, nine hundred eighty-one million, two hundred sixty-five thousand, two hundred sixteen".