118408359444480 has 2052 divisors, whose sum is σ = 497603624946948. Its totient is φ = 26968451973120.

The previous prime is 118408359444467. The next prime is 118408359444539. The reversal of 118408359444480 is 84444953804811.

118408359444480 is a `hidden beast` number, since 1 + 1 + 84 + 0 + 8 + 35 + 9 + 4 + 44 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61437504651264 + 56970854793216 = 7838208^2 + 7547904^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 421382061940 + ... + 421382062220.

It is an arithmetic number, because the mean of its divisors is an integer number (242496893249).

Almost surely, 2^{118408359444480} is an apocalyptic number.

118408359444480 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 118408359444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248801812473474).

118408359444480 is an abundant number, since it is smaller than the sum of its proper divisors (379195265502468).

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

118408359444480 is an frugal number, since it uses more digits than its factorization.

118408359444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 118408359444480 in words is "one hundred eighteen trillion, four hundred eight billion, three hundred fifty-nine million, four hundred forty-four thousand, four hundred eighty".