9821669118912 has 336 divisors, whose sum is σ = 32747566086144. Its totient is φ = 2756436480000.

The previous prime is 9821669118901. The next prime is 9821669118917. The reversal of 9821669118912 is 2198119661289.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9821669118912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9821669118917) 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, 77516412 + ... + 77643012.

It is an arithmetic number, because the mean of its divisors is an integer number (97462994304).

Almost surely, 2^{9821669118912} 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 9821669118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373783043072).

9821669118912 is an abundant number, since it is smaller than the sum of its proper divisors (22925896967232).

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

9821669118912 is a wasteful number, since it uses less digits than its factorization.

9821669118912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126968 (or 126955 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 63.

The spelling of 9821669118912 in words is "nine trillion, eight hundred twenty-one billion, six hundred sixty-nine million, one hundred eighteen thousand, nine hundred twelve".