221439905867712 has 224 divisors, whose sum is σ = 671203823431680. Its totient is φ = 63116320849920.

The previous prime is 221439905867711. The next prime is 221439905867749. The reversal of 221439905867712 is 217768509934122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×221439905867712² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221439905867711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2755249864 + ... + 2755330232.

It is an arithmetic number, because the mean of its divisors is an integer number (2996445640320).

It is a 1-persistent number, because it is pandigital, but 2⋅221439905867712 = 442879811735424 is not.

Almost surely, 2^{221439905867712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221439905867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335601911715840).

221439905867712 is an abundant number, since it is smaller than the sum of its proper divisors (449763917563968).

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

221439905867712 is a wasteful number, since it uses less digits than its factorization.

221439905867712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85299 (or 85289 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 221439905867712 in words is "two hundred twenty-one trillion, four hundred thirty-nine billion, nine hundred five million, eight hundred sixty-seven thousand, seven hundred twelve".