224433121334422 has 768 divisors, whose sum is σ = 494435925688320. Its totient is φ = 74201339520000.

The previous prime is 224433121334407. The next prime is 224433121334449.

224433121334422 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×224433121334422³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 174928386993 + ... + 174928388275.

It is an arithmetic number, because the mean of its divisors is an integer number (643796778240).

Almost surely, 2^{224433121334422} is an apocalyptic number.

224433121334422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

224433121334422 is an abundant number, since it is smaller than the sum of its proper divisors (270002804353898).

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

224433121334422 is a wasteful number, since it uses less digits than its factorization.

224433121334422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1550 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 224433121334422 in words is "two hundred twenty-four trillion, four hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-four thousand, four hundred twenty-two".