224223848541504 has 672 divisors, whose sum is σ = 753775530393600. Its totient is φ = 62406372188160.

The previous prime is 224223848541503. The next prime is 224223848541509. The reversal of 224223848541504 is 405145848322422.

224223848541504 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 2 + 3 + 8 + 48 + 541 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224223848541503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50421371409 + ... + 50421375855.

Almost surely, 2^{224223848541504} is an apocalyptic number.

224223848541504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224223848541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376887765196800).

224223848541504 is an abundant number, since it is smaller than the sum of its proper divisors (529551681852096).

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

224223848541504 is a wasteful number, since it uses less digits than its factorization.

224223848541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 54.

The spelling of 224223848541504 in words is "two hundred twenty-four trillion, two hundred twenty-three billion, eight hundred forty-eight million, five hundred forty-one thousand, five hundred four".