9099923825664 has 495 divisors, whose sum is σ = 31028882032707. Its totient is φ = 2561172590592.

The previous prime is 9099923825659. The next prime is 9099923825687. The reversal of 9099923825664 is 4665283299909.

The square root of 9099923825664 is 3016608.

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

It is a super-2 number, since 2×9099923825664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9099923825592 and 9099923825601.

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, 135819758559 + ... + 135819758625.

Almost surely, 2^{9099923825664} is an apocalyptic number.

9099923825664 is the 3016608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9099923825664

9099923825664 is an abundant number, since it is smaller than the sum of its proper divisors (21928958207043).

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

9099923825664 is an frugal number, since it uses more digits than its factorization.

9099923825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 9099923825664 in words is "nine trillion, ninety-nine billion, nine hundred twenty-three million, eight hundred twenty-five thousand, six hundred sixty-four".