8902219248 has 320 divisors, whose sum is σ = 28473177600. Its totient is φ = 2645913600.

The previous prime is 8902219243. The next prime is 8902219273. The reversal of 8902219248 is 8429122098.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8902219243) 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, 22199848 + ... + 22200248.

It is an arithmetic number, because the mean of its divisors is an integer number (88978680).

Almost surely, 2^8902219248 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 8902219248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236588800).

8902219248 is an abundant number, since it is smaller than the sum of its proper divisors (19570958352).

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

8902219248 is a wasteful number, since it uses less digits than its factorization.

8902219248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8902219248 is about 94351.5725783095. The cubic root of 8902219248 is about 2072.5233332210.

It can be divided in two parts, 8902 and 219248, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 8902219248 in words is "eight billion, nine hundred two million, two hundred nineteen thousand, two hundred forty-eight".