118228245408 has 1920 divisors, whose sum is σ = 498331975680. Its totient is φ = 26605117440.

The previous prime is 118228245403. The next prime is 118228245419. The reversal of 118228245408 is 804542822811.

It is a happy number.

118228245408 is a `hidden beast` number, since 1 + 1 + 8 + 22 + 82 + 4 + 540 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (118228245403) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3195357966 + ... + 3195358002.

It is an arithmetic number, because the mean of its divisors is an integer number (259547904).

Almost surely, 2^118228245408 is an apocalyptic number.

118228245408 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 118228245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249165987840).

118228245408 is an abundant number, since it is smaller than the sum of its proper divisors (380103730272).

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

118228245408 is a wasteful number, since it uses less digits than its factorization.

118228245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 118228245408 in words is "one hundred eighteen billion, two hundred twenty-eight million, two hundred forty-five thousand, four hundred eight".