223500466546560 has 1536 divisors, whose sum is σ = 921064915584000. Its totient is φ = 50170801766400.

The previous prime is 223500466546541. The next prime is 223500466546589. The reversal of 223500466546560 is 65645664005322.

223500466546560 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 0 + 0 + 46 + 6 + 546 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 223500466546497 and 223500466546506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212655058035 + ... + 212655059085.

It is an arithmetic number, because the mean of its divisors is an integer number (599651637750).

Almost surely, 2^{223500466546560} is an apocalyptic number.

223500466546560 is a gapful number since it is divisible by the number (20) 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 223500466546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460532457792000).

223500466546560 is an abundant number, since it is smaller than the sum of its proper divisors (697564449037440).

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

223500466546560 is a wasteful number, since it uses less digits than its factorization.

223500466546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 223500466546560 in words is "two hundred twenty-three trillion, five hundred billion, four hundred sixty-six million, five hundred forty-six thousand, five hundred sixty".