224215136332047 has 384 divisors, whose sum is σ = 411597179136000. Its totient is φ = 114673145610240.

The previous prime is 224215136332003. The next prime is 224215136332049. The reversal of 224215136332047 is 740233631512422.

224215136332047 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 1 + 5 + 1 + 3 + 633 + 2 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 224215136332047 - 2⁷ = 224215136331919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224215136331993 and 224215136332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224215136332049) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 340235411404 + ... + 340235412062.

It is an arithmetic number, because the mean of its divisors is an integer number (1071867654000).

Almost surely, 2^{224215136332047} is an apocalyptic number.

224215136332047 is a deficient number, since it is larger than the sum of its proper divisors (187382042803953).

224215136332047 is a wasteful number, since it uses less digits than its factorization.

224215136332047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 224215136332047 its reverse (740233631512422), we get a palindrome (964448767844469).

The spelling of 224215136332047 in words is "two hundred twenty-four trillion, two hundred fifteen billion, one hundred thirty-six million, three hundred thirty-two thousand, forty-seven".