22141334324304 has 480 divisors, whose sum is σ = 69766188011520. Its totient is φ = 6511230738432.

The previous prime is 22141334324293. The next prime is 22141334324341. The reversal of 22141334324304 is 40342343314122.

22141334324304 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 3 + 343 + 2 + 4 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 746263582 + ... + 746293250.

It is an arithmetic number, because the mean of its divisors is an integer number (145346225024).

Almost surely, 2^{22141334324304} is an apocalyptic number.

22141334324304 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 22141334324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34883094005760).

22141334324304 is an abundant number, since it is smaller than the sum of its proper divisors (47624853687216).

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

22141334324304 is a wasteful number, since it uses less digits than its factorization.

22141334324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29939 (or 29930 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 22141334324304 its reverse (40342343314122), we get a palindrome (62483677638426).

The spelling of 22141334324304 in words is "twenty-two trillion, one hundred forty-one billion, three hundred thirty-four million, three hundred twenty-four thousand, three hundred four".