221441011344 has 120 divisors (see below), whose sum is σ = 708363893952. Its totient is φ = 63259557120.

The previous prime is 221441011343. The next prime is 221441011369. The reversal of 221441011344 is 443110144122.

221441011344 is a `hidden beast` number, since 2 + 214 + 4 + 101 + 1 + 344 = 666.

It is a super-2 number, since 2×221441011344² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221441011343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9799579 + ... + 9822149.

Almost surely, 2^221441011344 is an apocalyptic number.

221441011344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221441011344 is an abundant number, since it is smaller than the sum of its proper divisors (486922882608).

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

221441011344 is a wasteful number, since it uses less digits than its factorization.

221441011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32325 (or 32316 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 221441011344 its reverse (443110144122), we get a palindrome (664551155466).

The spelling of 221441011344 in words is "two hundred twenty-one billion, four hundred forty-one million, eleven thousand, three hundred forty-four".