9049716900 has 405 divisors, whose sum is σ = 34352584497. Its totient is φ = 2054808000.

The previous prime is 9049716889. The next prime is 9049716901. The reversal of 9049716900 is 96179409.

The square root of 9049716900 is 95130.

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

9049716900 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 only one way, i.e., 3257898084 + 5791818816 = 57078^2 + 76104^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×9049716900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9049716901) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 59931825 + ... + 59931975.

Almost surely, 2^9049716900 is an apocalyptic number.

9049716900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9049716900 is the 95130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9049716900

9049716900 is an abundant number, since it is smaller than the sum of its proper divisors (25302867597).

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

9049716900 is a wasteful number, since it uses less digits than its factorization.

9049716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The cubic root of 9049716900 is about 2083.9069888357.

The spelling of 9049716900 in words is "nine billion, forty-nine million, seven hundred sixteen thousand, nine hundred".