1118224064160 has 1344 divisors, whose sum is σ = 4664343398400. Its totient is φ = 247960590336.

The previous prime is 1118224064143. The next prime is 1118224064171. The reversal of 1118224064160 is 614604228111.

1118224064160 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 2 + 2 + 4 + 0 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6695952397 + ... + 6695952563.

It is an arithmetic number, because the mean of its divisors is an integer number (3470493600).

Almost surely, 2^{1118224064160} is an apocalyptic number.

1118224064160 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 1118224064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332171699200).

1118224064160 is an abundant number, since it is smaller than the sum of its proper divisors (3546119334240).

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

1118224064160 is a wasteful number, since it uses less digits than its factorization.

1118224064160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1118224064160 in words is "one trillion, one hundred eighteen billion, two hundred twenty-four million, sixty-four thousand, one hundred sixty".