224342135104311 has 144 divisors (see below), whose sum is σ = 390878229381120. Its totient is φ = 121332852737280.

The previous prime is 224342135104273. The next prime is 224342135104331. The reversal of 224342135104311 is 113401531243422.

224342135104311 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 4 + 213 + 5 + 1 + 0 + 431 + 1 = 666.

It is not a de Polignac number, because 224342135104311 - 2⁶ = 224342135104247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224342135104331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6208082635 + ... + 6208118771.

It is an arithmetic number, because the mean of its divisors is an integer number (2714432148480).

Almost surely, 2^{224342135104311} is an apocalyptic number.

224342135104311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

224342135104311 is a deficient number, since it is larger than the sum of its proper divisors (166536094276809).

224342135104311 is a wasteful number, since it uses less digits than its factorization.

224342135104311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37714 (or 37664 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 224342135104311 its reverse (113401531243422), we get a palindrome (337743666347733).

The spelling of 224342135104311 in words is "two hundred twenty-four trillion, three hundred forty-two billion, one hundred thirty-five million, one hundred four thousand, three hundred eleven".