22818438720 has 1344 divisors, whose sum is σ = 105231200256. Its totient is φ = 4568555520.

The previous prime is 22818438719. The next prime is 22818438743. The reversal of 22818438720 is 2783481822.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×22818438720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 221538189 + ... + 221538291.

It is an arithmetic number, because the mean of its divisors is an integer number (78297024).

Almost surely, 2^22818438720 is an apocalyptic number.

22818438720 is a gapful number since it is divisible by the number (20) 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 22818438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52615600128).

22818438720 is an abundant number, since it is smaller than the sum of its proper divisors (82412761536).

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

22818438720 is a wasteful number, since it uses less digits than its factorization.

22818438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 22818438720 in words is "twenty-two billion, eight hundred eighteen million, four hundred thirty-eight thousand, seven hundred twenty".