22153345600 has 105 divisors (see below), whose sum is σ = 55419593885. Its totient is φ = 8716070400.

The previous prime is 22153345579. The next prime is 22153345603. The reversal of 22153345600 is 654335122.

It is a happy number.

The square root of 22153345600 is 148840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 15809541696 + 6343803904 = 125736^2 + 79648^2 .

It is not an unprimeable number, because it can be changed into a prime (22153345603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 363169570 + ... + 363169630.

Almost surely, 2^22153345600 is an apocalyptic number.

22153345600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22153345600 is the 148840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22153345600

22153345600 is an abundant number, since it is smaller than the sum of its proper divisors (33266248285).

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

22153345600 is an frugal number, since it uses more digits than its factorization.

22153345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 22153345600 in words is "twenty-two billion, one hundred fifty-three million, three hundred forty-five thousand, six hundred".