223766955555264 has 336 divisors, whose sum is σ = 702817922686464. Its totient is φ = 67505674752000.

The previous prime is 223766955555229. The next prime is 223766955555293. The reversal of 223766955555264 is 462555559667322.

223766955555264 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 6 + 6 + 9 + 5 + 5 + 5 + 552 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 223766955555192 and 223766955555201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13438641339 + ... + 13438657989.

Almost surely, 2^{223766955555264} is an apocalyptic number.

223766955555264 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 223766955555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351408961343232).

223766955555264 is an abundant number, since it is smaller than the sum of its proper divisors (479050967131200).

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

223766955555264 is a wasteful number, since it uses less digits than its factorization.

223766955555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26016 (or 26003 counting only the distinct ones).

The product of its digits is 4082400000, while the sum is 72.

The spelling of 223766955555264 in words is "two hundred twenty-three trillion, seven hundred sixty-six billion, nine hundred fifty-five million, five hundred fifty-five thousand, two hundred sixty-four".