9093290899968 has 960 divisors, whose sum is σ = 30849759667584. Its totient is φ = 2548039680000.

The previous prime is 9093290899933. The next prime is 9093290900039. The reversal of 9093290899968 is 8699980923909.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14186100928 + ... + 14186101568.

Almost surely, 2^{9093290899968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9093290899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424879833792).

9093290899968 is an abundant number, since it is smaller than the sum of its proper divisors (21756468767616).

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

9093290899968 is a wasteful number, since it uses less digits than its factorization.

9093290899968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1224440064, while the sum is 81.

The spelling of 9093290899968 in words is "nine trillion, ninety-three billion, two hundred ninety million, eight hundred ninety-nine thousand, nine hundred sixty-eight".