118407448741638 has 512 divisors, whose sum is σ = 302052108533760. Its totient is φ = 30186073681920.

The previous prime is 118407448741613. The next prime is 118407448741667. The reversal of 118407448741638 is 836147844704811.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 106004877456 + ... + 106004878572.

It is an arithmetic number, because the mean of its divisors is an integer number (589945524480).

Almost surely, 2^{118407448741638} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118407448741638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151026054266880).

118407448741638 is an abundant number, since it is smaller than the sum of its proper divisors (183644659792122).

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

118407448741638 is a wasteful number, since it uses less digits than its factorization.

118407448741638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812.

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 118407448741638 in words is "one hundred eighteen trillion, four hundred seven billion, four hundred forty-eight million, seven hundred forty-one thousand, six hundred thirty-eight".