21104222449284 has 240 divisors, whose sum is σ = 61475368212720. Its totient is φ = 6268455889920.

The previous prime is 21104222449267. The next prime is 21104222449307. The reversal of 21104222449284 is 48294422240112.

21104222449284 is a `hidden beast` number, since 2 + 1 + 104 + 2 + 22 + 449 + 2 + 84 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3322162382400 + 17782060066884 = 1822680^2 + 4216878^2 .

It is a super-2 number, since 2×21104222449284² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 759868822 + ... + 759896594.

It is an arithmetic number, because the mean of its divisors is an integer number (256147367553).

Almost surely, 2^{21104222449284} 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 21104222449284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30737684106360).

21104222449284 is an abundant number, since it is smaller than the sum of its proper divisors (40371145763436).

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

21104222449284 is a wasteful number, since it uses less digits than its factorization.

21104222449284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34052 (or 34041 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

Adding to 21104222449284 its reverse (48294422240112), we get a palindrome (69398644689396).

The spelling of 21104222449284 in words is "twenty-one trillion, one hundred four billion, two hundred twenty-two million, four hundred forty-nine thousand, two hundred eighty-four".