221006418694200 has 384 divisors, whose sum is σ = 764229436185600. Its totient is φ = 58704041088000.

The previous prime is 221006418694189. The next prime is 221006418694219. The reversal of 221006418694200 is 2496814600122.

It is a happy number.

221006418694200 is a `hidden beast` number, since 2 + 2 + 100 + 6 + 41 + 86 + 9 + 420 + 0 = 666.

It is a super-2 number, since 2×221006418694200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7435520539 + ... + 7435550261.

It is an arithmetic number, because the mean of its divisors is an integer number (1990180823400).

Almost surely, 2^{221006418694200} is an apocalyptic number.

221006418694200 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 221006418694200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382114718092800).

221006418694200 is an abundant number, since it is smaller than the sum of its proper divisors (543223017491400).

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

221006418694200 is a wasteful number, since it uses less digits than its factorization.

221006418694200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35100 (or 35085 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 221006418694200 in words is "two hundred twenty-one trillion, six billion, four hundred eighteen million, six hundred ninety-four thousand, two hundred".