223213837258368 has 768 divisors, whose sum is σ = 737472967545600. Its totient is φ = 64145217945600.

The previous prime is 223213837258331. The next prime is 223213837258369. The reversal of 223213837258368 is 863852738312322.

223213837258368 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 13 + 8 + 3 + 7 + 258 + 368 = 666.

It is a super-3 number, since 3×223213837258368³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223213837258369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16085158246 + ... + 16085172122.

It is an arithmetic number, because the mean of its divisors is an integer number (960251259825).

Almost surely, 2^{223213837258368} 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 223213837258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368736483772800).

223213837258368 is an abundant number, since it is smaller than the sum of its proper divisors (514259130287232).

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

223213837258368 is a wasteful number, since it uses less digits than its factorization.

223213837258368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14401 (or 14386 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 223213837258368 in words is "two hundred twenty-three trillion, two hundred thirteen billion, eight hundred thirty-seven million, two hundred fifty-eight thousand, three hundred sixty-eight".