220214221344 has 576 divisors, whose sum is σ = 752286729600. Its totient is φ = 62083086336.

The previous prime is 220214221327. The next prime is 220214221351. The reversal of 220214221344 is 443122412022.

It is a happy number.

220214221344 is a `hidden beast` number, since 2 + 202 + 1 + 422 + 1 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1318647949 + ... + 1318648115.

It is an arithmetic number, because the mean of its divisors is an integer number (1306053350).

Almost surely, 2^220214221344 is an apocalyptic number.

220214221344 is a gapful number since it is divisible by the number (24) 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 220214221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376143364800).

220214221344 is an abundant number, since it is smaller than the sum of its proper divisors (532072508256).

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

220214221344 is a wasteful number, since it uses less digits than its factorization.

220214221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 220214221344 its reverse (443122412022), we get a palindrome (663336633366).

The spelling of 220214221344 in words is "two hundred twenty billion, two hundred fourteen million, two hundred twenty-one thousand, three hundred forty-four".