115328839201 has 3 divisors (see below), whose sum is σ = 115329178803. Its totient is φ = 115328499600.

The previous prime is 115328839177. The next prime is 115328839217. The reversal of 115328839201 is 102938823511.

It is a happy number.

The square root of 115328839201 is 339601.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 102938823511 = 6883 ⋅14955517.

It can be written as a sum of positive squares in only one way, i.e., 43911621601 + 71417217600 = 209551^2 + 267240^2 .

It is a de Polignac number, because none of the positive numbers 2^k-115328839201 is a prime.

It is a super-3 number, since 3×115328839201³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115328839231) 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 2 ways as a sum of consecutive naturals, for example, 169801 + ... + 509401.

It is an arithmetic number, because the mean of its divisors is an integer number (38443059601).

Almost surely, 2^115328839201 is an apocalyptic number.

115328839201 is the 339601-st square number.

115328839201 is the 169801-st centered octagonal number.

It is an amenable number.

115328839201 is a deficient number, since it is larger than the sum of its proper divisors (339602).

115328839201 is an frugal number, since it uses more digits than its factorization.

115328839201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679202 (or 339601 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

It can be divided in two parts, 115328 and 839201, that added together give a square (954529 = 977²).

The spelling of 115328839201 in words is "one hundred fifteen billion, three hundred twenty-eight million, eight hundred thirty-nine thousand, two hundred one".