115734996336960 has 2688 divisors, whose sum is σ = 548600495579136. Its totient is φ = 21615896494080.

The previous prime is 115734996336959. The next prime is 115734996336961. The reversal of 115734996336960 is 69633699437511.

115734996336960 is a `hidden beast` number, since 1 + 1 + 5 + 73 + 499 + 6 + 3 + 3 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (115734996336959) and next prime (115734996336961).

It is a super-2 number, since 2×115734996336960² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115734996336961) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 46238511069 + ... + 46238513571.

It is an arithmetic number, because the mean of its divisors is an integer number (204092446272).

Almost surely, 2^{115734996336960} is an apocalyptic number.

115734996336960 is a gapful number since it is divisible by the number (10) 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 115734996336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274300247789568).

115734996336960 is an abundant number, since it is smaller than the sum of its proper divisors (432865499242176).

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

115734996336960 is a wasteful number, since it uses less digits than its factorization.

115734996336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 595213920, while the sum is 72.

The spelling of 115734996336960 in words is "one hundred fifteen trillion, seven hundred thirty-four billion, nine hundred ninety-six million, three hundred thirty-six thousand, nine hundred sixty".