9438115104 has 288 divisors, whose sum is σ = 30510514944. Its totient is φ = 2742128640.

The previous prime is 9438115039. The next prime is 9438115123. The reversal of 9438115104 is 4015118349.

9438115104 is a `hidden beast` number, since 9 + 438 + 115 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8556217 + ... + 8557319.

It is an arithmetic number, because the mean of its divisors is an integer number (105939288).

Almost surely, 2^9438115104 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 9438115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255257472).

9438115104 is an abundant number, since it is smaller than the sum of its proper divisors (21072399840).

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

9438115104 is a wasteful number, since it uses less digits than its factorization.

9438115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9438115104 is about 97149.9619351444. The cubic root of 9438115104 is about 2113.3029365565.

The spelling of 9438115104 in words is "nine billion, four hundred thirty-eight million, one hundred fifteen thousand, one hundred four".