224413483392 has 960 divisors, whose sum is σ = 832374100800. Its totient is φ = 59664439296.

The previous prime is 224413483361. The next prime is 224413483403. The reversal of 224413483392 is 293384314422.

224413483392 is a `hidden beast` number, since 2 + 244 + 13 + 4 + 8 + 3 + 392 = 666.

It is a super-2 number, since 2×224413483392² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 646724563 + ... + 646724909.

It is an arithmetic number, because the mean of its divisors is an integer number (867056355).

Almost surely, 2^224413483392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224413483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416187050400).

224413483392 is an abundant number, since it is smaller than the sum of its proper divisors (607960617408).

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

224413483392 is a wasteful number, since it uses less digits than its factorization.

224413483392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 445 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 224413483392 in words is "two hundred twenty-four billion, four hundred thirteen million, four hundred eighty-three thousand, three hundred ninety-two".