115746666989184 has 4096 divisors, whose sum is σ = 495434465280000. Its totient is φ = 25869370982400.

The previous prime is 115746666989183. The next prime is 115746666989209. The reversal of 115746666989184 is 481989666647511.

115746666989184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (115746666989183) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 322414113997 + ... + 322414114355.

It is an arithmetic number, because the mean of its divisors is an integer number (120955680000).

Almost surely, 2^{115746666989184} is an apocalyptic number.

115746666989184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115746666989184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247717232640000).

115746666989184 is an abundant number, since it is smaller than the sum of its proper divisors (379687798290816).

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

115746666989184 is a wasteful number, since it uses less digits than its factorization.

115746666989184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 449 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 115746666989184 in words is "one hundred fifteen trillion, seven hundred forty-six billion, six hundred sixty-six million, nine hundred eighty-nine thousand, one hundred eighty-four".