223434342144 has 432 divisors, whose sum is σ = 719302764544. Its totient is φ = 66239078400.

The previous prime is 223434342143. The next prime is 223434342167. The reversal of 223434342144 is 441243434322.

223434342144 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 3 + 434 + 214 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 junction number, because it is equal to n+sod(n) for n = 223434342099 and 223434342108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223434342143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 307337109 + ... + 307337835.

Almost surely, 2^223434342144 is an apocalyptic number.

223434342144 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 223434342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359651382272).

223434342144 is an abundant number, since it is smaller than the sum of its proper divisors (495868422400).

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

223434342144 is a wasteful number, since it uses less digits than its factorization.

223434342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1107 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 223434342144 its reverse (441243434322), we get a palindrome (664677776466).

The spelling of 223434342144 in words is "two hundred twenty-three billion, four hundred thirty-four million, three hundred forty-two thousand, one hundred forty-four".