9011820992 has 224 divisors, whose sum is σ = 20892211200. Its totient is φ = 3832012800.

The previous prime is 9011820967. The next prime is 9011821001. The reversal of 9011820992 is 2990281109.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33253817 + ... + 33254087.

It is an arithmetic number, because the mean of its divisors is an integer number (93268800).

Almost surely, 2^9011820992 is an apocalyptic number.

9011820992 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9011820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446105600).

9011820992 is an abundant number, since it is smaller than the sum of its proper divisors (11880390208).

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

9011820992 is a wasteful number, since it uses less digits than its factorization.

9011820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 9011820992 is about 94930.6114591073. The cubic root of 9011820992 is about 2080.9941155264.

The spelling of 9011820992 in words is "nine billion, eleven million, eight hundred twenty thousand, nine hundred ninety-two".