9009521136 has 400 divisors, whose sum is σ = 32797543680. Its totient is φ = 2319528960.

The previous prime is 9009521111. The next prime is 9009521159. The reversal of 9009521136 is 6311259009.

It is a super-2 number, since 2×9009521136² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9009521136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13671175 + ... + 13671833.

Almost surely, 2^9009521136 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 9009521136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398771840).

9009521136 is an abundant number, since it is smaller than the sum of its proper divisors (23788022544).

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

9009521136 is a wasteful number, since it uses less digits than its factorization.

9009521136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9009521136 is about 94918.4973332385. The cubic root of 9009521136 is about 2080.8170742085.

The spelling of 9009521136 in words is "nine billion, nine million, five hundred twenty-one thousand, one hundred thirty-six".