224122133320344 has 192 divisors, whose sum is σ = 694373705625600. Its totient is φ = 63973784717568.

The previous prime is 224122133320313. The next prime is 224122133320403. The reversal of 224122133320344 is 443023331221422.

224122133320344 is a `hidden beast` number, since 2 + 2 + 41 + 221 + 3 + 33 + 20 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 224122133320299 and 224122133320308.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2360797902 + ... + 2360892834.

It is an arithmetic number, because the mean of its divisors is an integer number (3616529716800).

Almost surely, 2^{224122133320344} is an apocalyptic number.

224122133320344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224122133320344 is an abundant number, since it is smaller than the sum of its proper divisors (470251572305256).

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

224122133320344 is a wasteful number, since it uses less digits than its factorization.

224122133320344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99374 (or 99367 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 224122133320344 its reverse (443023331221422), we get a palindrome (667145464541766).

The spelling of 224122133320344 in words is "two hundred twenty-four trillion, one hundred twenty-two billion, one hundred thirty-three million, three hundred twenty thousand, three hundred forty-four".