9448811904 has 384 divisors, whose sum is σ = 30630942720. Its totient is φ = 2570158080.

The previous prime is 9448811899. The next prime is 9448811909. The reversal of 9448811904 is 4091188449.

It is an interprime number because it is at equal distance from previous prime (9448811899) and next prime (9448811909).

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9448811909) 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, 56579629 + ... + 56579795.

It is an arithmetic number, because the mean of its divisors is an integer number (79768080).

Almost surely, 2^9448811904 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 9448811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315471360).

9448811904 is an abundant number, since it is smaller than the sum of its proper divisors (21182130816).

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

9448811904 is a wasteful number, since it uses less digits than its factorization.

9448811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 9448811904 is about 97204.9993776040. Note that the first 3 decimals coincide. The cubic root of 9448811904 is about 2114.1010141343.

The spelling of 9448811904 in words is "nine billion, four hundred forty-eight million, eight hundred eleven thousand, nine hundred four".