23205315343340 has 96 divisors (see below), whose sum is σ = 52866974583360. Its totient is φ = 8504900038656.

The previous prime is 23205315343297. The next prime is 23205315343361. The reversal of 23205315343340 is 4334351350232.

It is a junction number, because it is equal to n+sod(n) for n = 23205315343294 and 23205315343303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771977231 + ... + 772007289.

It is an arithmetic number, because the mean of its divisors is an integer number (550697651910).

Almost surely, 2^{23205315343340} is an apocalyptic number.

23205315343340 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 23205315343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26433487291680).

23205315343340 is an abundant number, since it is smaller than the sum of its proper divisors (29661659240020).

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

23205315343340 is a wasteful number, since it uses less digits than its factorization.

23205315343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51891 (or 51889 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 38.

Adding to 23205315343340 its reverse (4334351350232), we get a palindrome (27539666693572).

The spelling of 23205315343340 in words is "twenty-three trillion, two hundred five billion, three hundred fifteen million, three hundred forty-three thousand, three hundred forty".