1118613904128 has 864 divisors, whose sum is σ = 4018604728320. Its totient is φ = 292254842880.

The previous prime is 1118613904091. The next prime is 1118613904129. The reversal of 1118613904128 is 8214093168111.

1118613904128 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 613 + 9 + 0 + 4 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (1118613904129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023433950 + ... + 1023435042.

It is an arithmetic number, because the mean of its divisors is an integer number (4651162880).

Almost surely, 2^{1118613904128} is an apocalyptic number.

1118613904128 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 1118613904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009302364160).

1118613904128 is an abundant number, since it is smaller than the sum of its proper divisors (2899990824192).

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

1118613904128 is a wasteful number, since it uses less digits than its factorization.

1118613904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1118613904128 in words is "one trillion, one hundred eighteen billion, six hundred thirteen million, nine hundred four thousand, one hundred twenty-eight".