9448966656 has 320 divisors, whose sum is σ = 30593756160. Its totient is φ = 2866544640.

The previous prime is 9448966633. The next prime is 9448966663. The reversal of 9448966656 is 6566698449.

It is a junction number, because it is equal to n+sod(n) for n = 9448966593 and 9448966602.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7284600 + ... + 7285896.

It is an arithmetic number, because the mean of its divisors is an integer number (95605488).

Almost surely, 2^9448966656 is an apocalyptic number.

9448966656 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 9448966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296878080).

9448966656 is an abundant number, since it is smaller than the sum of its proper divisors (21144789504).

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

9448966656 is a wasteful number, since it uses less digits than its factorization.

9448966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1350 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The square root of 9448966656 is about 97205.7953827857. The cubic root of 9448966656 is about 2114.1125556056.

The spelling of 9448966656 in words is "nine billion, four hundred forty-eight million, nine hundred sixty-six thousand, six hundred fifty-six".