1118117298816 has 384 divisors, whose sum is σ = 3866472792000. Its totient is φ = 317157120000.

The previous prime is 1118117298811. The next prime is 1118117298817. The reversal of 1118117298816 is 6188927118111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1118117298811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23515066 + ... + 23562566.

Almost surely, 2^{1118117298816} is an apocalyptic number.

1118117298816 is a gapful number since it is divisible by the number (16) 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 1118117298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933236396000).

1118117298816 is an abundant number, since it is smaller than the sum of its proper divisors (2748355493184).

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

1118117298816 is a wasteful number, since it uses less digits than its factorization.

1118117298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47677 (or 47652 counting only the distinct ones).

The product of its digits is 387072, while the sum is 54.

The spelling of 1118117298816 in words is "one trillion, one hundred eighteen billion, one hundred seventeen million, two hundred ninety-eight thousand, eight hundred sixteen".