224051435000000 has 224 divisors, whose sum is σ = 558965752637760. Its totient is φ = 89102192000000.

The previous prime is 224051434999979. The next prime is 224051435000009. The reversal of 224051435000000 is 534150422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (224051435000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864870491 + ... + 865129509.

Almost surely, 2^{224051435000000} is an apocalyptic number.

224051435000000 is a gapful number since it is divisible by the number (20) 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 224051435000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279482876318880).

224051435000000 is an abundant number, since it is smaller than the sum of its proper divisors (334914317637760).

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

224051435000000 is an frugal number, since it uses more digits than its factorization.

224051435000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259239 (or 259199 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 224051435000000 its reverse (534150422), we get a palindrome (224051969150422).

The spelling of 224051435000000 in words is "two hundred twenty-four trillion, fifty-one billion, four hundred thirty-five million", and thus it is an aban number.