224223413414004 has 36 divisors (see below), whose sum is σ = 569953369308960. Its totient is φ = 74323589546640.

The previous prime is 224223413413913. The next prime is 224223413414009. The reversal of 224223413414004 is 400414314322422.

224223413414004 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 234 + 1 + 3 + 414 + 0 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×224223413414004² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224223413414004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224223413414009) 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 11 ways as a sum of consecutive naturals, for example, 17397837552 + ... + 17397850439.

It is an arithmetic number, because the mean of its divisors is an integer number (15832038036360).

Almost surely, 2^{224223413414004} is an apocalyptic number.

It is an amenable number.

224223413414004 is an abundant number, since it is smaller than the sum of its proper divisors (345729955894956).

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

224223413414004 is a wasteful number, since it uses less digits than its factorization.

224223413414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34795688180 (or 34795688175 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 224223413414004 its reverse (400414314322422), we get a palindrome (624637727736426).

The spelling of 224223413414004 in words is "two hundred twenty-four trillion, two hundred twenty-three billion, four hundred thirteen million, four hundred fourteen thousand, four".