9061516864 has 63 divisors (see below), whose sum is σ = 18343676673. Its totient is φ = 4441277952.

The previous prime is 9061516861. The next prime is 9061516873. The reversal of 9061516864 is 4686151609.

The square root of 9061516864 is 95192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5143758400 + 3917758464 = 71720^2 + 62592^2 .

It is a super-2 number, since 2×9061516864² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9061516861) 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 8 ways as a sum of consecutive naturals, for example, 55592047 + ... + 55592209.

It is an arithmetic number, because the mean of its divisors is an integer number (291169471).

Almost surely, 2^9061516864 is an apocalyptic number.

9061516864 is the 95192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9061516864

9061516864 is an abundant number, since it is smaller than the sum of its proper divisors (9282159809).

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

9061516864 is an frugal number, since it uses more digits than its factorization.

9061516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The cubic root of 9061516864 is about 2084.8123338232.

The spelling of 9061516864 in words is "nine billion, sixty-one million, five hundred sixteen thousand, eight hundred sixty-four".