224339556672 has 672 divisors, whose sum is σ = 859986616320. Its totient is φ = 54150819840.

The previous prime is 224339556659. The next prime is 224339556673. The reversal of 224339556672 is 276655933422.

224339556672 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 3 + 9 + 5 + 566 + 72 = 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 (224339556673) 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, 44659953 + ... + 44664975.

Almost surely, 2^224339556672 is an apocalyptic number.

224339556672 is a gapful number since it is divisible by the number (22) 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 224339556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429993308160).

224339556672 is an abundant number, since it is smaller than the sum of its proper divisors (635647059648).

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

224339556672 is a wasteful number, since it uses less digits than its factorization.

224339556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5118 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 224339556672 in words is "two hundred twenty-four billion, three hundred thirty-nine million, five hundred fifty-six thousand, six hundred seventy-two".