223349833728 has 672 divisors, whose sum is σ = 805305984000. Its totient is φ = 61039706112.

The previous prime is 223349833727. The next prime is 223349833801. The reversal of 223349833728 is 827338943322.

223349833728 is a `hidden beast` number, since 22 + 33 + 498 + 33 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 not an unprimeable number, because it can be changed into a prime (223349833727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9710862325 + ... + 9710862347.

It is an arithmetic number, because the mean of its divisors is an integer number (1198372000).

Almost surely, 2^223349833728 is an apocalyptic number.

223349833728 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 223349833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402652992000).

223349833728 is an abundant number, since it is smaller than the sum of its proper divisors (581956150272).

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

223349833728 is an frugal number, since it uses more digits than its factorization.

223349833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 35 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 223349833728 in words is "two hundred twenty-three billion, three hundred forty-nine million, eight hundred thirty-three thousand, seven hundred twenty-eight".