7166216448 has 360 divisors, whose sum is σ = 23438895480. Its totient is φ = 2167603200.

The previous prime is 7166216417. The next prime is 7166216459. The reversal of 7166216448 is 8446126617.

7166216448 is a `hidden beast` number, since 7 + 16 + 621 + 6 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3367713024 + 3798503424 = 58032^2 + 61632^2 .

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 39 ways as a sum of consecutive naturals, for example, 10222498 + ... + 10223198.

It is an arithmetic number, because the mean of its divisors is an integer number (65108043).

Almost surely, 2^7166216448 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 7166216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719447740).

7166216448 is an abundant number, since it is smaller than the sum of its proper divisors (16272679032).

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

7166216448 is a wasteful number, since it uses less digits than its factorization.

7166216448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 752 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 7166216448 is about 84653.5081848354. The cubic root of 7166216448 is about 1927.9538793970.

The spelling of 7166216448 in words is "seven billion, one hundred sixty-six million, two hundred sixteen thousand, four hundred forty-eight".