221466865200000 has 3072 divisors, whose sum is σ = 910291737600000. Its totient is φ = 46586327040000.

The previous prime is 221466865199969. The next prime is 221466865200089. The reversal of 221466865200000 is 2568664122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1486354799926 + ... + 1486354800074.

It is an arithmetic number, because the mean of its divisors is an integer number (296318925000).

Almost surely, 2^{221466865200000} is an apocalyptic number.

221466865200000 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 221466865200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455145868800000).

221466865200000 is an abundant number, since it is smaller than the sum of its proper divisors (688824872400000).

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

221466865200000 is a wasteful number, since it uses less digits than its factorization.

221466865200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 221466865200000 in words is "two hundred twenty-one trillion, four hundred sixty-six billion, eight hundred sixty-five million, two hundred thousand".