21822033454928 has 80 divisors (see below), whose sum is σ = 48989551134720. Its totient is φ = 9222790284288.

The previous prime is 21822033454919. The next prime is 21822033454939. The reversal of 21822033454928 is 82945433022812.

It is a happy number.

It is a super-2 number, since 2×21822033454928² (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 21822033454928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54735926 + ... + 55133162.

It is an arithmetic number, because the mean of its divisors is an integer number (612369389184).

Almost surely, 2^{21822033454928} is an apocalyptic number.

21822033454928 is a gapful number since it is divisible by the number (28) 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 21822033454928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494775567360).

21822033454928 is an abundant number, since it is smaller than the sum of its proper divisors (27167517679792).

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

21822033454928 is a wasteful number, since it uses less digits than its factorization.

21822033454928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404044 (or 404038 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 21822033454928 in words is "twenty-one trillion, eight hundred twenty-two billion, thirty-three million, four hundred fifty-four thousand, nine hundred twenty-eight".