1118659438800 has 360 divisors, whose sum is σ = 4113718127064. Its totient is φ = 280536023040.

The previous prime is 1118659438747. The next prime is 1118659438801. The reversal of 1118659438800 is 88349568111.

It is a happy number.

1118659438800 is a `hidden beast` number, since 1 + 1 + 1 + 86 + 59 + 438 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16839733824 + 1101819704976 = 129768^2 + 1049676^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1118659438801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84020944 + ... + 84034256.

Almost surely, 2^{1118659438800} is an apocalyptic number.

1118659438800 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 1118659438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056859063532).

1118659438800 is an abundant number, since it is smaller than the sum of its proper divisors (2995058688264).

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

1118659438800 is a wasteful number, since it uses less digits than its factorization.

1118659438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14727 (or 14713 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1118659438800 in words is "one trillion, one hundred eighteen billion, six hundred fifty-nine million, four hundred thirty-eight thousand, eight hundred".