9282989996900 has 144 divisors (see below), whose sum is σ = 20668986100224. Its totient is φ = 3616928286720.

The previous prime is 9282989996893. The next prime is 9282989996953. The reversal of 9282989996900 is 96999892829.

It is a super-2 number, since 2×9282989996900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4648466702 + ... + 4648468698.

It is an arithmetic number, because the mean of its divisors is an integer number (143534625696).

Almost surely, 2^{9282989996900} 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 9282989996900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334493050112).

9282989996900 is an abundant number, since it is smaller than the sum of its proper divisors (11385996103324).

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

9282989996900 is a wasteful number, since it uses less digits than its factorization.

9282989996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 816293376, while the sum is 80.

The spelling of 9282989996900 in words is "nine trillion, two hundred eighty-two billion, nine hundred eighty-nine million, nine hundred ninety-six thousand, nine hundred".