22118152231968 has 192 divisors, whose sum is σ = 63470414794752. Its totient is φ = 6702860989440.

The previous prime is 22118152231937. The next prime is 22118152231993. The reversal of 22118152231968 is 86913225181122.

It is a super-2 number, since 2×22118152231968² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22118152231968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575509713 + ... + 575548143.

It is an arithmetic number, because the mean of its divisors is an integer number (330575077056).

Almost surely, 2^{22118152231968} 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 22118152231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31735207397376).

22118152231968 is an abundant number, since it is smaller than the sum of its proper divisors (41352262562784).

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

22118152231968 is a wasteful number, since it uses less digits than its factorization.

22118152231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45407 (or 45399 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The spelling of 22118152231968 in words is "twenty-two trillion, one hundred eighteen billion, one hundred fifty-two million, two hundred thirty-one thousand, nine hundred sixty-eight".