115194274788384 has 288 divisors, whose sum is σ = 369332334443520. Its totient is φ = 34904673999360.

The previous prime is 115194274788361. The next prime is 115194274788427. The reversal of 115194274788384 is 483887472491511.

115194274788384 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 9 + 427 + 47 + 8 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679255974 + ... + 1679324570.

It is an arithmetic number, because the mean of its divisors is an integer number (1282403939040).

Almost surely, 2^{115194274788384} 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 115194274788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184666167221760).

115194274788384 is an abundant number, since it is smaller than the sum of its proper divisors (254138059655136).

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

115194274788384 is a wasteful number, since it uses less digits than its factorization.

115194274788384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84701 (or 84676 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 115194274788384 in words is "one hundred fifteen trillion, one hundred ninety-four billion, two hundred seventy-four million, seven hundred eighty-eight thousand, three hundred eighty-four".