221664206131200 has 2808 divisors, whose sum is σ = 985784091271200. Its totient is φ = 47328563036160.

The previous prime is 221664206131171. The next prime is 221664206131213. The reversal of 221664206131200 is 2131602466122.

221664206131200 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 6 + 4 + 20 + 613 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×221664206131200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 62634699031 + ... + 62634702569.

Almost surely, 2^{221664206131200} is an apocalyptic number.

221664206131200 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 221664206131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492892045635600).

221664206131200 is an abundant number, since it is smaller than the sum of its proper divisors (764119885140000).

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

221664206131200 is a wasteful number, since it uses less digits than its factorization.

221664206131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 221664206131200 its reverse (2131602466122), we get a palindrome (223795808597322).

The spelling of 221664206131200 in words is "two hundred twenty-one trillion, six hundred sixty-four billion, two hundred six million, one hundred thirty-one thousand, two hundred".