223968805704 has 384 divisors, whose sum is σ = 745520455680. Its totient is φ = 61641907200.

The previous prime is 223968805699. The next prime is 223968805751. The reversal of 223968805704 is 407508869322.

223968805704 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 68 + 8 + 0 + 570 + 4 = 666.

It is a super-2 number, since 2×223968805704² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101664267 + ... + 101666469.

It is an arithmetic number, because the mean of its divisors is an integer number (1941459520).

Almost surely, 2^223968805704 is an apocalyptic number.

223968805704 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 223968805704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372760227840).

223968805704 is an abundant number, since it is smaller than the sum of its proper divisors (521551649976).

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

223968805704 is a wasteful number, since it uses less digits than its factorization.

223968805704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 223968805704 in words is "two hundred twenty-three billion, nine hundred sixty-eight million, eight hundred five thousand, seven hundred four".