9504432006048 has 768 divisors, whose sum is σ = 34030572871680. Its totient is φ = 2521464422400.

The previous prime is 9504432005993. The next prime is 9504432006053. The reversal of 9504432006048 is 8406002344059.

9504432006048 is a `hidden beast` number, since 9 + 5 + 0 + 4 + 4 + 32 + 0 + 0 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9504432005994 and 9504432006012.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2527100488 + ... + 2527104248.

It is an arithmetic number, because the mean of its divisors is an integer number (44310641760).

Almost surely, 2^{9504432006048} 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 9504432006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015286435840).

9504432006048 is an abundant number, since it is smaller than the sum of its proper divisors (24526140865632).

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

9504432006048 is a wasteful number, since it uses less digits than its factorization.

9504432006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 9504432006048 in words is "nine trillion, five hundred four billion, four hundred thirty-two million, six thousand, forty-eight".