223076073152016 has 640 divisors, whose sum is σ = 764642259763200. Its totient is φ = 60948233256960.

The previous prime is 223076073151991. The next prime is 223076073152017. The reversal of 223076073152016 is 610251370670322.

223076073152016 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 7 + 607 + 3 + 1 + 5 + 20 + 16 = 666.

It is a super-3 number, since 3×223076073152016³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223076073152017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1306830000 + ... + 1307000688.

It is an arithmetic number, because the mean of its divisors is an integer number (1194753530880).

Almost surely, 2^{223076073152016} 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 223076073152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382321129881600).

223076073152016 is an abundant number, since it is smaller than the sum of its proper divisors (541566186611184).

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

223076073152016 is a wasteful number, since it uses less digits than its factorization.

223076073152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170964 (or 170952 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 223076073152016 in words is "two hundred twenty-three trillion, seventy-six billion, seventy-three million, one hundred fifty-two thousand, sixteen".