22211868384 has 192 divisors, whose sum is σ = 69934233600. Its totient is φ = 6837659136.

The previous prime is 22211868359. The next prime is 22211868401. The reversal of 22211868384 is 48386811222.

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

It is a congruent number.

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, 557017 + ... + 595559.

It is an arithmetic number, because the mean of its divisors is an integer number (364240800).

Almost surely, 2^22211868384 is an apocalyptic number.

22211868384 is a gapful number since it is divisible by the number (24) 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 22211868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34967116800).

22211868384 is an abundant number, since it is smaller than the sum of its proper divisors (47722365216).

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

22211868384 is a wasteful number, since it uses less digits than its factorization.

22211868384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38614 (or 38600 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 22211868384 in words is "twenty-two billion, two hundred eleven million, eight hundred sixty-eight thousand, three hundred eighty-four".