9048949180800 has 384 divisors, whose sum is σ = 31480922592000. Its totient is φ = 2278234644480.

The previous prime is 9048949180793. The next prime is 9048949180801. The reversal of 9048949180800 is 80819498409.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048949180801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53358541 + ... + 53527859.

It is an arithmetic number, because the mean of its divisors is an integer number (81981569250).

Almost surely, 2^{9048949180800} 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 9048949180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740461296000).

9048949180800 is an abundant number, since it is smaller than the sum of its proper divisors (22431973411200).

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

9048949180800 is a wasteful number, since it uses less digits than its factorization.

9048949180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169658 (or 169641 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 9048949180800 in words is "nine trillion, forty-eight billion, nine hundred forty-nine million, one hundred eighty thousand, eight hundred".