224368921728 has 384 divisors, whose sum is σ = 767510016000. Its totient is φ = 63912748032.

The previous prime is 224368921717. The next prime is 224368921787. The reversal of 224368921728 is 827129863422.

224368921728 is a `hidden beast` number, since 2 + 24 + 368 + 92 + 172 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82517553 + ... + 82520271.

It is an arithmetic number, because the mean of its divisors is an integer number (1998724000).

Almost surely, 2^224368921728 is an apocalyptic number.

224368921728 is a gapful number since it is divisible by the number (28) 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 224368921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383755008000).

224368921728 is an abundant number, since it is smaller than the sum of its proper divisors (543141094272).

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

224368921728 is an equidigital number, since it uses as much as digits as its factorization.

224368921728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3110 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 224368921728 in words is "two hundred twenty-four billion, three hundred sixty-eight million, nine hundred twenty-one thousand, seven hundred twenty-eight".