221486631660 has 1080 divisors, whose sum is σ = 879863340720. Its totient is φ = 46664771328.

The previous prime is 221486631649. The next prime is 221486631701. The reversal of 221486631660 is 66136684122.

221486631660 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 8 + 6 + 631 + 6 + 6 + 0 = 666.

221486631660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5986125162 + ... + 5986125198.

Almost surely, 2^221486631660 is an apocalyptic number.

221486631660 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 221486631660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439931670360).

221486631660 is an abundant number, since it is smaller than the sum of its proper divisors (658376709060).

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

221486631660 is an frugal number, since it uses more digits than its factorization.

221486631660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 221486631660 in words is "two hundred twenty-one billion, four hundred eighty-six million, six hundred thirty-one thousand, six hundred sixty".