2118045091968 has 384 divisors, whose sum is σ = 7022516155200. Its totient is φ = 607279472640.

The previous prime is 2118045091951. The next prime is 2118045091969. The reversal of 2118045091968 is 8691905408112.

2118045091968 is a `hidden beast` number, since 2 + 1 + 18 + 0 + 450 + 91 + 96 + 8 = 666.

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

It is a super-2 number, since 2×2118045091968² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2118045091969) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17296171 + ... + 17418197.

Almost surely, 2^{2118045091968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118045091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511258077600).

2118045091968 is an abundant number, since it is smaller than the sum of its proper divisors (4904471063232).

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

2118045091968 is a wasteful number, since it uses less digits than its factorization.

2118045091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122140 (or 122125 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 2118045091968 in words is "two trillion, one hundred eighteen billion, forty-five million, ninety-one thousand, nine hundred sixty-eight".