23240224305342 has 256 divisors, whose sum is σ = 58830453964800. Its totient is φ = 6739897057920.

The previous prime is 23240224305293. The next prime is 23240224305401. The reversal of 23240224305342 is 24350342204232.

23240224305342 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 0 + 2 + 2 + 4 + 305 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23240224305297 and 23240224305306.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 206371183 + ... + 206483765.

It is an arithmetic number, because the mean of its divisors is an integer number (229806460800).

Almost surely, 2^{23240224305342} is an apocalyptic number.

23240224305342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240224305342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29415226982400).

23240224305342 is an abundant number, since it is smaller than the sum of its proper divisors (35590229659458).

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

23240224305342 is a wasteful number, since it uses less digits than its factorization.

23240224305342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112820 (or 112814 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 23240224305342 its reverse (24350342204232), we get a palindrome (47590566509574).

The spelling of 23240224305342 in words is "twenty-three trillion, two hundred forty billion, two hundred twenty-four million, three hundred five thousand, three hundred forty-two".