115735855716216 has 192 divisors, whose sum is σ = 341378986777920. Its totient is φ = 35321985853440.

The previous prime is 115735855716191. The next prime is 115735855716281. The reversal of 115735855716216 is 612617558537511.

115735855716216 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 3 + 5 + 8 + 557 + 1 + 62 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12482691 + ... + 19679666.

It is an arithmetic number, because the mean of its divisors is an integer number (1778015556135).

Almost surely, 2^{115735855716216} is an apocalyptic number.

It is an amenable number.

115735855716216 is an abundant number, since it is smaller than the sum of its proper divisors (225643131061704).

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

115735855716216 is a wasteful number, since it uses less digits than its factorization.

115735855716216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32162486 (or 32162479 counting only the distinct ones).

The product of its digits is 52920000, while the sum is 63.

The spelling of 115735855716216 in words is "one hundred fifteen trillion, seven hundred thirty-five billion, eight hundred fifty-five million, seven hundred sixteen thousand, two hundred sixteen".