9123032504960 has 256 divisors, whose sum is σ = 25872887911680. Its totient is φ = 3037932748800.

The previous prime is 9123032504941. The next prime is 9123032505017. The reversal of 9123032504960 is 694052303219.

It is a super-3 number, since 3×9123032504960³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3398045 + ... + 5458275.

It is an arithmetic number, because the mean of its divisors is an integer number (101065968405).

Almost surely, 2^{9123032504960} 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 9123032504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936443955840).

9123032504960 is an abundant number, since it is smaller than the sum of its proper divisors (16749855406720).

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

9123032504960 is a wasteful number, since it uses less digits than its factorization.

9123032504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060315 (or 2060303 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 9123032504960 in words is "nine trillion, one hundred twenty-three billion, thirty-two million, five hundred four thousand, nine hundred sixty".