4686223196160 has 720 divisors, whose sum is σ = 18379128785472. Its totient is φ = 1136001024000.

The previous prime is 4686223196087. The next prime is 4686223196177. The reversal of 4686223196160 is 616913226864.

4686223196160 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 2 + 2 + 3 + 19 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4686223196097 and 4686223196106.

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, 218961460 + ... + 218982860.

Almost surely, 2^{4686223196160} is an apocalyptic number.

4686223196160 is a gapful number since it is divisible by the number (40) 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 4686223196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189564392736).

4686223196160 is an abundant number, since it is smaller than the sum of its proper divisors (13692905589312).

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

4686223196160 is an equidigital number, since it uses as much as digits as its factorization.

4686223196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21460 (or 21422 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4686223196160 in words is "four trillion, six hundred eighty-six billion, two hundred twenty-three million, one hundred ninety-six thousand, one hundred sixty".