115517539604544 has 1344 divisors, whose sum is σ = 405690027393024. Its totient is φ = 28663165440000.

The previous prime is 115517539604539. The next prime is 115517539604561. The reversal of 115517539604544 is 445406935715511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 41389299789 + ... + 41389302579.

Almost surely, 2^{115517539604544} is an apocalyptic number.

115517539604544 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 115517539604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202845013696512).

115517539604544 is an abundant number, since it is smaller than the sum of its proper divisors (290172487788480).

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

115517539604544 is a wasteful number, since it uses less digits than its factorization.

115517539604544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 60.

The spelling of 115517539604544 in words is "one hundred fifteen trillion, five hundred seventeen billion, five hundred thirty-nine million, six hundred four thousand, five hundred forty-four".