22144122405345 has 32 divisors (see below), whose sum is σ = 35862849792000. Its totient is φ = 11666366987264.

The previous prime is 22144122405331. The next prime is 22144122405367. The reversal of 22144122405345 is 54350422144122.

It is a cyclic number.

It is not a de Polignac number, because 22144122405345 - 2⁵ = 22144122405313 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6505857 + ... + 9306686.

It is an arithmetic number, because the mean of its divisors is an integer number (1120714056000).

Almost surely, 2^{22144122405345} is an apocalyptic number.

It is an amenable number.

22144122405345 is a deficient number, since it is larger than the sum of its proper divisors (13718727386655).

22144122405345 is a wasteful number, since it uses less digits than its factorization.

22144122405345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813689.

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 22144122405345 its reverse (54350422144122), we get a palindrome (76494544549467).

The spelling of 22144122405345 in words is "twenty-two trillion, one hundred forty-four billion, one hundred twenty-two million, four hundred five thousand, three hundred forty-five".