9001146336 has 576 divisors, whose sum is σ = 31917957120. Its totient is φ = 2194698240.

The previous prime is 9001146311. The next prime is 9001146409. The reversal of 9001146336 is 6336411009.

It is a junction number, because it is equal to n+sod(n) for n = 9001146297 and 9001146306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70875105 + ... + 70875231.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 2^9001146336 is an apocalyptic number.

9001146336 is a gapful number since it is divisible by the number (96) 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 9001146336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

9001146336 is an abundant number, since it is smaller than the sum of its proper divisors (22916810784).

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

9001146336 is a wasteful number, since it uses less digits than its factorization.

9001146336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 9001146336 is about 94874.3713338855. The cubic root of 9001146336 is about 2080.1721331904.

The spelling of 9001146336 in words is "nine billion, one million, one hundred forty-six thousand, three hundred thirty-six".