9891232992 has 144 divisors (see below), whose sum is σ = 29097589248. Its totient is φ = 3183909120.

The previous prime is 9891232991. The next prime is 9891233017. The reversal of 9891232992 is 2992321989.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9891232991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5739843 + ... + 5741565.

It is an arithmetic number, because the mean of its divisors is an integer number (202066592).

Almost surely, 2^9891232992 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 9891232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548794624).

9891232992 is an abundant number, since it is smaller than the sum of its proper divisors (19206356256).

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

9891232992 is a wasteful number, since it uses less digits than its factorization.

9891232992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2402 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9891232992 is about 99454.6780800179. The cubic root of 9891232992 is about 2146.5951510109.

The spelling of 9891232992 in words is "nine billion, eight hundred ninety-one million, two hundred thirty-two thousand, nine hundred ninety-two".