9008353937664 has 405 divisors, whose sum is σ = 28375307352777. Its totient is φ = 2842150146048.

The previous prime is 9008353937657. The next prime is 9008353937699. The reversal of 9008353937664 is 4667393538009.

The square root of 9008353937664 is 3001392.

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

9008353937664 is a `hidden beast` number, since 9 + 0 + 0 + 8 + 3 + 539 + 37 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2561792313600 + 6446561624064 = 1600560^2 + 2539008^2 .

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 44 ways as a sum of consecutive naturals, for example, 8211807964 + ... + 8211809060.

Almost surely, 2^{9008353937664} is an apocalyptic number.

9008353937664 is the 3001392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9008353937664

9008353937664 is an abundant number, since it is smaller than the sum of its proper divisors (19366953415113).

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

9008353937664 is an frugal number, since it uses more digits than its factorization.

9008353937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 9008353937664 in words is "nine trillion, eight billion, three hundred fifty-three million, nine hundred thirty-seven thousand, six hundred sixty-four".