22511341152 has 144 divisors (see below), whose sum is σ = 66483445392. Its totient is φ = 7492953600.

The previous prime is 22511341121. The next prime is 22511341157. The reversal of 22511341152 is 25114311522.

It is a happy number.

22511341152 is a `hidden beast` number, since 2 + 2 + 511 + 34 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22511341157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6817902 + ... + 6821202.

It is an arithmetic number, because the mean of its divisors is an integer number (461690593).

Almost surely, 2^22511341152 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 22511341152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33241722696).

22511341152 is an abundant number, since it is smaller than the sum of its proper divisors (43972104240).

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

22511341152 is an equidigital number, since it uses as much as digits as its factorization.

22511341152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4183 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 22511341152 its reverse (25114311522), we get a palindrome (47625652674).

The spelling of 22511341152 in words is "twenty-two billion, five hundred eleven million, three hundred forty-one thousand, one hundred fifty-two".