118424291328 has 720 divisors, whose sum is σ = 436188212460. Its totient is φ = 31808028672.

The previous prime is 118424291327. The next prime is 118424291369. The reversal of 118424291328 is 823192424811.

118424291328 is a `hidden beast` number, since 1 + 1 + 84 + 242 + 9 + 1 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100179846144 + 18244445184 = 316512^2 + 135072^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (118424291327) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 138184276 + ... + 138185132.

Almost surely, 2^118424291328 is an apocalyptic number.

118424291328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118424291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218094106230).

118424291328 is an abundant number, since it is smaller than the sum of its proper divisors (317763921132).

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

118424291328 is an equidigital number, since it uses as much as digits as its factorization.

118424291328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 886 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 118424291328 in words is "one hundred eighteen billion, four hundred twenty-four million, two hundred ninety-one thousand, three hundred twenty-eight".