8900242848 has 384 divisors, whose sum is σ = 31476695040. Its totient is φ = 2392519680.

The previous prime is 8900242847. The next prime is 8900242853. The reversal of 8900242848 is 8482420098.

It is a happy number.

8900242848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8900242848² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8900242847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6936415 + ... + 6937697.

It is an arithmetic number, because the mean of its divisors is an integer number (81970560).

Almost surely, 2^8900242848 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 8900242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738347520).

8900242848 is an abundant number, since it is smaller than the sum of its proper divisors (22576452192).

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

8900242848 is a wasteful number, since it uses less digits than its factorization.

8900242848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8900242848 is about 94341.0984036120. The cubic root of 8900242848 is about 2072.3699468136.

The spelling of 8900242848 in words is "eight billion, nine hundred million, two hundred forty-two thousand, eight hundred forty-eight".