9915951648 has 144 divisors (see below), whose sum is σ = 28316705760. Its totient is φ = 3029806080.

The previous prime is 9915951637. The next prime is 9915951649. The reversal of 9915951648 is 8461595199.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (9915951649) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1750036 + ... + 1755692.

It is an arithmetic number, because the mean of its divisors is an integer number (196643790).

Almost surely, 2^9915951648 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 9915951648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158352880).

9915951648 is an abundant number, since it is smaller than the sum of its proper divisors (18400754112).

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

9915951648 is a wasteful number, since it uses less digits than its factorization.

9915951648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5712 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 57.

The square root of 9915951648 is about 99578.8714939068. The cubic root of 9915951648 is about 2148.3818109018.

The spelling of 9915951648 in words is "nine billion, nine hundred fifteen million, nine hundred fifty-one thousand, six hundred forty-eight".