118208286720 has 312 divisors, whose sum is σ = 420837001416. Its totient is φ = 30668488704.

The previous prime is 118208286671. The next prime is 118208286743. The reversal of 118208286720 is 27682802811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8387629056 + 109820657664 = 91584^2 + 331392^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6811174 + ... + 6828506.

It is an arithmetic number, because the mean of its divisors is an integer number (1348836543).

Almost surely, 2^118208286720 is an apocalyptic number.

118208286720 is a gapful number since it is divisible by the number (10) 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 118208286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210418500708).

118208286720 is an abundant number, since it is smaller than the sum of its proper divisors (302628714696).

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

118208286720 is a wasteful number, since it uses less digits than its factorization.

118208286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17405 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 118208286720 in words is "one hundred eighteen billion, two hundred eight million, two hundred eighty-six thousand, seven hundred twenty".