223951796768 has 486 divisors, whose sum is σ = 590980095279. Its totient is φ = 83266154496.

The previous prime is 223951796737. The next prime is 223951796771. The reversal of 223951796768 is 867697159322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 223679810704 + 271986064 = 472948^2 + 16492^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334628.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6052751246 + ... + 6052751282.

Almost surely, 2^223951796768 is an apocalyptic number.

223951796768 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 223951796768

223951796768 is an abundant number, since it is smaller than the sum of its proper divisors (367028298511).

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

223951796768 is a wasteful number, since it uses less digits than its factorization.

223951796768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 82 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 65.

The spelling of 223951796768 in words is "two hundred twenty-three billion, nine hundred fifty-one million, seven hundred ninety-six thousand, seven hundred sixty-eight".