9245384448000 has 1536 divisors, whose sum is σ = 34335113379840. Its totient is φ = 2198077440000.

The previous prime is 9245384447977. The next prime is 9245384448037. The reversal of 9245384448000 is 8444835429.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 21451007785 + ... + 21451008215.

It is an arithmetic number, because the mean of its divisors is an integer number (22353589440).

Almost surely, 2^{9245384448000} 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 9245384448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167556689920).

9245384448000 is an abundant number, since it is smaller than the sum of its proper divisors (25089728931840).

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

9245384448000 is a wasteful number, since it uses less digits than its factorization.

9245384448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 9245384448000 in words is "nine trillion, two hundred forty-five billion, three hundred eighty-four million, four hundred forty-eight thousand".