115820843264 has 144 divisors (see below), whose sum is σ = 280997673600. Its totient is φ = 46538883072.

The previous prime is 115820843261. The next prime is 115820843287. The reversal of 115820843264 is 462348028511.

115820843264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (115820843261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3285122 + ... + 3320190.

Almost surely, 2^115820843264 is an apocalyptic number.

115820843264 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 115820843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140498836800).

115820843264 is an abundant number, since it is smaller than the sum of its proper divisors (165176830336).

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

115820843264 is an equidigital number, since it uses as much as digits as its factorization.

115820843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35208 (or 35194 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 115820843264 in words is "one hundred fifteen billion, eight hundred twenty million, eight hundred forty-three thousand, two hundred sixty-four".