115170289344 has 896 divisors, whose sum is σ = 409495142400. Its totient is φ = 31744742400.

The previous prime is 115170289343. The next prime is 115170289397. The reversal of 115170289344 is 443982071511.

115170289344 is a `hidden beast` number, since 1 + 1 + 517 + 0 + 2 + 8 + 93 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115170289344.

It is not an unprimeable number, because it can be changed into a prime (115170289343) 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 127 ways as a sum of consecutive naturals, for example, 906852609 + ... + 906852735.

Almost surely, 2^115170289344 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 115170289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204747571200).

115170289344 is an abundant number, since it is smaller than the sum of its proper divisors (294324853056).

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

115170289344 is a wasteful number, since it uses less digits than its factorization.

115170289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 115170289344 in words is "one hundred fifteen billion, one hundred seventy million, two hundred eighty-nine thousand, three hundred forty-four".