115671934105728 has 6144 divisors, whose sum is σ = 494856007188480. Its totient is φ = 23123460096000.

The previous prime is 115671934105649. The next prime is 115671934105733. The reversal of 115671934105728 is 827501439176511.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1896261214818 + ... + 1896261214878.

It is an arithmetic number, because the mean of its divisors is an integer number (80542969920).

It is a 1-persistent number, because it is pandigital, but 2⋅115671934105728 = 231343868211456 is not.

Almost surely, 2^{115671934105728} 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 115671934105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247428003594240).

115671934105728 is an abundant number, since it is smaller than the sum of its proper divisors (379184073082752).

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

115671934105728 is a wasteful number, since it uses less digits than its factorization.

115671934105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 60.

The spelling of 115671934105728 in words is "one hundred fifteen trillion, six hundred seventy-one billion, nine hundred thirty-four million, one hundred five thousand, seven hundred twenty-eight".