9891114240 has 576 divisors, whose sum is σ = 38569789440. Its totient is φ = 2110095360.

The previous prime is 9891114223. The next prime is 9891114253. The reversal of 9891114240 is 424111989.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54646950 + ... + 54647130.

It is an arithmetic number, because the mean of its divisors is an integer number (66961440).

Almost surely, 2^9891114240 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 9891114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

9891114240 is an abundant number, since it is smaller than the sum of its proper divisors (28678675200).

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

9891114240 is a wasteful number, since it uses less digits than its factorization.

9891114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 9891114240 is about 99454.0810625688. The cubic root of 9891114240 is about 2146.5865604578.

The spelling of 9891114240 in words is "nine billion, eight hundred ninety-one million, one hundred fourteen thousand, two hundred forty".