221413382424 has 192 divisors, whose sum is σ = 655621162560. Its totient is φ = 67092157440.

The previous prime is 221413382419. The next prime is 221413382431. The reversal of 221413382424 is 424283314122.

221413382424 is a `hidden beast` number, since 2 + 21 + 4 + 133 + 82 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96559422 + ... + 96561714.

It is an arithmetic number, because the mean of its divisors is an integer number (3414693555).

Almost surely, 2^221413382424 is an apocalyptic number.

221413382424 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 221413382424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327810581280).

221413382424 is an abundant number, since it is smaller than the sum of its proper divisors (434207780136).

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

221413382424 is a wasteful number, since it uses less digits than its factorization.

221413382424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3835 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 221413382424 its reverse (424283314122), we get a palindrome (645696696546).

The spelling of 221413382424 in words is "two hundred twenty-one billion, four hundred thirteen million, three hundred eighty-two thousand, four hundred twenty-four".