9008950896 has 240 divisors, whose sum is σ = 30203566848. Its totient is φ = 2569190400.

The previous prime is 9008950861. The next prime is 9008950903. The reversal of 9008950896 is 6980598009.

9008950896 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 2×9008950896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 720861 + ... + 733251.

Almost surely, 2^9008950896 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 9008950896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101783424).

9008950896 is an abundant number, since it is smaller than the sum of its proper divisors (21194615952).

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

9008950896 is a wasteful number, since it uses less digits than its factorization.

9008950896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 9008950896 is about 94915.4934454855. The cubic root of 9008950896 is about 2080.7731728680.

The spelling of 9008950896 in words is "nine billion, eight million, nine hundred fifty thousand, eight hundred ninety-six".