118528029841 has 27 divisors (see below), whose sum is σ = 130530027537. Its totient is φ = 107580301920.

The previous prime is 118528029769. The next prime is 118528029863. The reversal of 118528029841 is 148920825811.

The square root of 118528029841 is 344279.

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 13707492241 + 104820537600 = 117079^2 + 323760^2 .

It is not a de Polignac number, because 118528029841 - 2²⁵ = 118494475409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (118528029341) 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 26 ways as a sum of consecutive naturals, for example, 317769331 + ... + 317769703.

Almost surely, 2^118528029841 is an apocalyptic number.

118528029841 is the 344279-th square number.

118528029841 is the 172140-th centered octagonal number.

It is an amenable number.

118528029841 is a deficient number, since it is larger than the sum of its proper divisors (12001997696).

118528029841 is an frugal number, since it uses more digits than its factorization.

118528029841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 49.

Multiplying 118528029841 by its sum of digits (49), we get a square (5807873462209 = 2409953²).

It can be divided in two parts, 1185280 and 29841, that added together give a palindrome (1215121).

The spelling of 118528029841 in words is "one hundred eighteen billion, five hundred twenty-eight million, twenty-nine thousand, eight hundred forty-one".