224234376624 has 160 divisors (see below), whose sum is σ = 679005152000. Its totient is φ = 70654726656.

The previous prime is 224234376593. The next prime is 224234376661. The reversal of 224234376624 is 426673432422.

It is a happy number.

224234376624 is a `hidden beast` number, since 2 + 24 + 234 + 376 + 6 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 224234376624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3721167 + ... + 3780945.

It is an arithmetic number, because the mean of its divisors is an integer number (4243782200).

Almost surely, 2^224234376624 is an apocalyptic number.

224234376624 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 224234376624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339502576000).

224234376624 is an abundant number, since it is smaller than the sum of its proper divisors (454770775376).

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

224234376624 is a wasteful number, since it uses less digits than its factorization.

224234376624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60272 (or 60260 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 45.

The spelling of 224234376624 in words is "two hundred twenty-four billion, two hundred thirty-four million, three hundred seventy-six thousand, six hundred twenty-four".