118886350401 has 135 divisors (see below), whose sum is σ = 224237533113. Its totient is φ = 62560330560.

The previous prime is 118886350379. The next prime is 118886350433. The reversal of 118886350401 is 104053688811.

The square root of 118886350401 is 344799.

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

118886350401 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 8 + 635 + 0 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95101308225 + 23785042176 = 308385^2 + 154224^2 .

It is not a de Polignac number, because 118886350401 - 2²¹ = 118884253249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (118886350481) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 282390171 + ... + 282390591.

Almost surely, 2^118886350401 is an apocalyptic number.

118886350401 is the 344799-th square number.

118886350401 is the 172400-th centered octagonal number.

It is an amenable number.

118886350401 is a deficient number, since it is larger than the sum of its proper divisors (105351182712).

118886350401 is an frugal number, since it uses more digits than its factorization.

118886350401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 118886350401 in words is "one hundred eighteen billion, eight hundred eighty-six million, three hundred fifty thousand, four hundred one".