8992297648656 has 405 divisors, whose sum is σ = 30343599946413. Its totient is φ = 2478618696960.

The previous prime is 8992297648639. The next prime is 8992297648661. The reversal of 8992297648656 is 6568467922998.

The square root of 8992297648656 is 2998716.

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

8992297648656 is a `hidden beast` number, since 89 + 9 + 2 + 2 + 9 + 7 + 6 + 486 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4715342762256 + 4276954886400 = 2171484^2 + 2068080^2 .

It is a super-3 number, since 3×8992297648656³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 80 ways as a sum of consecutive naturals, for example, 7304871561 + ... + 7304872791.

Almost surely, 2^{8992297648656} is an apocalyptic number.

8992297648656 is the 2998716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8992297648656

8992297648656 is an abundant number, since it is smaller than the sum of its proper divisors (21351302297757).

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

8992297648656 is a wasteful number, since it uses less digits than its factorization.

8992297648656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 1272 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

Multiplying 8992297648656 by its sum of digits (81), we get a square (728376109541136 = 26988444²).

The spelling of 8992297648656 in words is "eight trillion, nine hundred ninety-two billion, two hundred ninety-seven million, six hundred forty-eight thousand, six hundred fifty-six".