9480916900 has 243 divisors, whose sum is σ = 26159581539. Its totient is φ = 2972511360.

The previous prime is 9480916853. The next prime is 9480916919. The reversal of 9480916900 is 96190849.

The square root of 9480916900 is 97370.

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

9480916900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2443720356 + 7037196544 = 49434^2 + 83888^2 .

It is a super-2 number, since 2×9480916900² (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 (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 88606647 + ... + 88606753.

Almost surely, 2^9480916900 is an apocalyptic number.

9480916900 is the 97370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9480916900

9480916900 is an abundant number, since it is smaller than the sum of its proper divisors (16678664639).

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

9480916900 is a wasteful number, since it uses less digits than its factorization.

9480916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The cubic root of 9480916900 is about 2116.4927249407.

The spelling of 9480916900 in words is "nine billion, four hundred eighty million, nine hundred sixteen thousand, nine hundred".