9816891432192 has 432 divisors, whose sum is σ = 30674946382080. Its totient is φ = 3001507135488.

The previous prime is 9816891432157. The next prime is 9816891432197. The reversal of 9816891432192 is 2912341986189.

9816891432192 is a `hidden beast` number, since 9 + 8 + 1 + 6 + 8 + 9 + 1 + 432 + 192 = 666.

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 (9816891432197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374660434 + ... + 3374663342.

Almost surely, 2^{9816891432192} 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 9816891432192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337473191040).

9816891432192 is an abundant number, since it is smaller than the sum of its proper divisors (20858054949888).

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

9816891432192 is a wasteful number, since it uses less digits than its factorization.

9816891432192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3601 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 9816891432192 in words is "nine trillion, eight hundred sixteen billion, eight hundred ninety-one million, four hundred thirty-two thousand, one hundred ninety-two".