224874429609984 has 192 divisors, whose sum is σ = 747451940901120. Its totient is φ = 58408942632960.

The previous prime is 224874429609983. The next prime is 224874429610021. The reversal of 224874429609984 is 489906924478422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224874429609983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237193509 + ... + 238139684.

It is an arithmetic number, because the mean of its divisors is an integer number (3892978858860).

Almost surely, 2^{224874429609984} is an apocalyptic number.

224874429609984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224874429609984 is an abundant number, since it is smaller than the sum of its proper divisors (522577511291136).

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

224874429609984 is a wasteful number, since it uses less digits than its factorization.

224874429609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475333236 (or 475333216 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 78.

The spelling of 224874429609984 in words is "two hundred twenty-four trillion, eight hundred seventy-four billion, four hundred twenty-nine million, six hundred nine thousand, nine hundred eighty-four".