221446594995000 has 480 divisors, whose sum is σ = 701273266721280. Its totient is φ = 58254459680000.

The previous prime is 221446594994951. The next prime is 221446594995011. The reversal of 221446594995000 is 599495644122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100338283897 + ... + 100338286103.

It is an arithmetic number, because the mean of its divisors is an integer number (1460985972336).

Almost surely, 2^{221446594995000} is an apocalyptic number.

221446594995000 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 221446594995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350636633360640).

221446594995000 is an abundant number, since it is smaller than the sum of its proper divisors (479826671726280).

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

221446594995000 is an equidigital number, since it uses as much as digits as its factorization.

221446594995000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 221446594995000 in words is "two hundred twenty-one trillion, four hundred forty-six billion, five hundred ninety-four million, nine hundred ninety-five thousand".