9915204096 has 180 divisors, whose sum is σ = 33288700302. Its totient is φ = 2832850944.

The previous prime is 9915204059. The next prime is 9915204121. The reversal of 9915204096 is 6904025199.

9915204096 is a `hidden beast` number, since 99 + 152 + 0 + 409 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7341062400 + 2574141696 = 85680^2 + 50736^2 .

It is a super-2 number, since 2×9915204096² (a number of 21 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 203836 + ... + 247748.

Almost surely, 2^9915204096 is an apocalyptic number.

9915204096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9915204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644350151).

9915204096 is an abundant number, since it is smaller than the sum of its proper divisors (23373496206).

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

9915204096 is a wasteful number, since it uses less digits than its factorization.

9915204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43951 (or 43925 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9915204096 is about 99575.1178558178. The cubic root of 9915204096 is about 2148.3278215475.

The spelling of 9915204096 in words is "nine billion, nine hundred fifteen million, two hundred four thousand, ninety-six".