118064611180800 has 162 divisors, whose sum is σ = 422107631704122. Its totient is φ = 31483896299520.

The previous prime is 118064611180793. The next prime is 118064611180801. The reversal of 118064611180800 is 8081116460811.

118064611180800 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 6 + 461 + 1 + 180 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1329206079744 + 116735405101056 = 1152912^2 + 10804416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (118064611180801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1024808817 + ... + 1024924016.

Almost surely, 2^{118064611180800} is an apocalyptic number.

118064611180800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

118064611180800 is an abundant number, since it is smaller than the sum of its proper divisors (304043020523322).

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

118064611180800 is a wasteful number, since it uses less digits than its factorization.

118064611180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049732865 (or 2049732843 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 118064611180800 in words is "one hundred eighteen trillion, sixty-four billion, six hundred eleven million, one hundred eighty thousand, eight hundred".