23265040224 has 96 divisors (see below), whose sum is σ = 64311287040. Its totient is φ = 7349709312.

The previous prime is 23265040223. The next prime is 23265040229. The reversal of 23265040224 is 42204056232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23265040191 and 23265040200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23265040223) 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 15 ways as a sum of consecutive naturals, for example, 192339 + ... + 289005.

It is an arithmetic number, because the mean of its divisors is an integer number (669909240).

Almost surely, 2^23265040224 is an apocalyptic number.

23265040224 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 23265040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32155643520).

23265040224 is an abundant number, since it is smaller than the sum of its proper divisors (41046246816).

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

23265040224 is a wasteful number, since it uses less digits than its factorization.

23265040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96812 (or 96804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 23265040224 its reverse (42204056232), we get a palindrome (65469096456).

The spelling of 23265040224 in words is "twenty-three billion, two hundred sixty-five million, forty thousand, two hundred twenty-four".