115301826304 has 144 divisors (see below), whose sum is σ = 269413099200. Its totient is φ = 49228677120.

The previous prime is 115301826301. The next prime is 115301826313. The reversal of 115301826304 is 403628103511.

115301826304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115301826304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115301826304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115301826301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24671712 + ... + 24676384.

It is an arithmetic number, because the mean of its divisors is an integer number (1870924300).

Almost surely, 2^115301826304 is an apocalyptic number.

115301826304 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 115301826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134706549600).

115301826304 is an abundant number, since it is smaller than the sum of its proper divisors (154111272896).

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

115301826304 is an frugal number, since it uses more digits than its factorization.

115301826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 115301826304 its reverse (403628103511), we get a palindrome (518929929815).

The spelling of 115301826304 in words is "one hundred fifteen billion, three hundred one million, eight hundred twenty-six thousand, three hundred four".