221443414500000 has 672 divisors, whose sum is σ = 905893754411520. Its totient is φ = 46014192000000.

The previous prime is 221443414499981. The next prime is 221443414500059. The reversal of 221443414500000 is 5414344122.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 111 ways as a sum of consecutive naturals, for example, 114541371 + ... + 116458629.

It is an arithmetic number, because the mean of its divisors is an integer number (1348056182160).

Almost surely, 2^{221443414500000} is an apocalyptic number.

221443414500000 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 221443414500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452946877205760).

221443414500000 is an abundant number, since it is smaller than the sum of its proper divisors (684450339911520).

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

221443414500000 is an equidigital number, since it uses as much as digits as its factorization.

221443414500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917320 (or 1917287 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 221443414500000 its reverse (5414344122), we get a palindrome (221448828844122).

The spelling of 221443414500000 in words is "two hundred twenty-one trillion, four hundred forty-three billion, four hundred fourteen million, five hundred thousand".