223707838464 has 288 divisors, whose sum is σ = 709611477120. Its totient is φ = 67332096000.

The previous prime is 223707838447. The next prime is 223707838477. The reversal of 223707838464 is 464838707322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 223707838464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30611899 + ... + 30619205.

It is an arithmetic number, because the mean of its divisors is an integer number (2463928740).

Almost surely, 2^223707838464 is an apocalyptic number.

223707838464 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 223707838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354805738560).

223707838464 is an abundant number, since it is smaller than the sum of its proper divisors (485903638656).

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

223707838464 is a wasteful number, since it uses less digits than its factorization.

223707838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 223707838464 in words is "two hundred twenty-three billion, seven hundred seven million, eight hundred thirty-eight thousand, four hundred sixty-four".