9009461323200 has 672 divisors, whose sum is σ = 32318240875200. Its totient is φ = 2183953121280.

The previous prime is 9009461323171. The next prime is 9009461323201. The reversal of 9009461323200 is 23231649009.

9009461323200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009461323201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4231779736 + ... + 4231781864.

It is an arithmetic number, because the mean of its divisors is an integer number (48092620350).

Almost surely, 2^{9009461323200} 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 9009461323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159120437600).

9009461323200 is an abundant number, since it is smaller than the sum of its proper divisors (23308779552000).

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

9009461323200 is a wasteful number, since it uses less digits than its factorization.

9009461323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 9009461323200 in words is "nine trillion, nine billion, four hundred sixty-one million, three hundred twenty-three thousand, two hundred".