9504294912 has 288 divisors, whose sum is σ = 33031252800. Its totient is φ = 2571927552.

The previous prime is 9504294901. The next prime is 9504294913. The reversal of 9504294912 is 2194924059.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (9504294913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2449518 + ... + 2453394.

It is an arithmetic number, because the mean of its divisors is an integer number (114691850).

Almost surely, 2^9504294912 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 9504294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515626400).

9504294912 is an abundant number, since it is smaller than the sum of its proper divisors (23526957888).

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

9504294912 is a wasteful number, since it uses less digits than its factorization.

9504294912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9504294912 is about 97489.9733921392. The cubic root of 9504294912 is about 2118.2309105248.

The spelling of 9504294912 in words is "nine billion, five hundred four million, two hundred ninety-four thousand, nine hundred twelve".