115045785856 has 243 divisors, whose sum is σ = 258659268231. Its totient is φ = 51056689152.

The previous prime is 115045785817. The next prime is 115045785863. The reversal of 115045785856 is 658587540511.

It is a happy number.

The square root of 115045785856 is 339184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11372089600 + 103673696256 = 106640^2 + 321984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115045785797 and 115045785806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2675483371 + ... + 2675483413.

Almost surely, 2^115045785856 is an apocalyptic number.

115045785856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115045785856 is the 339184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115045785856

115045785856 is an abundant number, since it is smaller than the sum of its proper divisors (143613482375).

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

115045785856 is an frugal number, since it uses more digits than its factorization.

115045785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 55.

The spelling of 115045785856 in words is "one hundred fifteen billion, forty-five million, seven hundred eighty-five thousand, eight hundred fifty-six".