22418206272 has 1008 divisors, whose sum is σ = 89606079360. Its totient is φ = 5376983040.

The previous prime is 22418206271. The next prime is 22418206301. The reversal of 22418206272 is 27260281422.

22418206272 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 8 + 20 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22418206271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 422984998 + ... + 422985050.

It is an arithmetic number, because the mean of its divisors is an integer number (88894920).

Almost surely, 2^22418206272 is an apocalyptic number.

22418206272 is a gapful number since it is divisible by the number (22) 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 22418206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44803039680).

22418206272 is an abundant number, since it is smaller than the sum of its proper divisors (67187873088).

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

22418206272 is a wasteful number, since it uses less digits than its factorization.

22418206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 22418206272 its reverse (27260281422), we get a palindrome (49678487694).

The spelling of 22418206272 in words is "twenty-two billion, four hundred eighteen million, two hundred six thousand, two hundred seventy-two".