22213268064 has 288 divisors, whose sum is σ = 70695828000. Its totient is φ = 6782330880.

The previous prime is 22213268057. The next prime is 22213268083. The reversal of 22213268064 is 46086231222.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21755874 + ... + 21756894.

It is an arithmetic number, because the mean of its divisors is an integer number (245471625).

Almost surely, 2^22213268064 is an apocalyptic number.

22213268064 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 22213268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35347914000).

22213268064 is an abundant number, since it is smaller than the sum of its proper divisors (48482559936).

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

22213268064 is a wasteful number, since it uses less digits than its factorization.

22213268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 22213268064 its reverse (46086231222), we get a palindrome (68299499286).

The spelling of 22213268064 in words is "twenty-two billion, two hundred thirteen million, two hundred sixty-eight thousand, sixty-four".