221343446016 has 660 divisors, whose sum is σ = 838957480416. Its totient is φ = 57480192000.

The previous prime is 221343446011. The next prime is 221343446021. The reversal of 221343446016 is 610644343122.

221343446016 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 3 + 44 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (221343446011) and next prime (221343446021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221343446011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44704341 + ... + 44709291.

Almost surely, 2^221343446016 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 221343446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419478740208).

221343446016 is an abundant number, since it is smaller than the sum of its proper divisors (617614034400).

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

221343446016 is a wasteful number, since it uses less digits than its factorization.

221343446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 221343446016 its reverse (610644343122), we get a palindrome (831987789138).

The spelling of 221343446016 in words is "two hundred twenty-one billion, three hundred forty-three million, four hundred forty-six thousand, sixteen".