8641216288 has 48 divisors (see below), whose sum is σ = 17935223040. Its totient is φ = 4090116096.

The previous prime is 8641216277. The next prime is 8641216291. The reversal of 8641216288 is 8826121468.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10873 + ... + 131911.

It is an arithmetic number, because the mean of its divisors is an integer number (373650480).

Almost surely, 2^8641216288 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 8641216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967611520).

8641216288 is an abundant number, since it is smaller than the sum of its proper divisors (9294006752).

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

8641216288 is a wasteful number, since it uses less digits than its factorization.

8641216288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121169 (or 121161 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 8641216288 is about 92958.1426664711. The cubic root of 8641216288 is about 2052.0674196063.

The spelling of 8641216288 in words is "eight billion, six hundred forty-one million, two hundred sixteen thousand, two hundred eighty-eight".