23205404144 has 160 divisors (see below), whose sum is σ = 51018401280. Its totient is φ = 10152345600.

The previous prime is 23205404143. The next prime is 23205404171. The reversal of 23205404144 is 44140450232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205404143) 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, 96287864 + ... + 96288104.

It is an arithmetic number, because the mean of its divisors is an integer number (318865008).

Almost surely, 2^23205404144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23205404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509200640).

23205404144 is an abundant number, since it is smaller than the sum of its proper divisors (27812997136).

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

23205404144 is a wasteful number, since it uses less digits than its factorization.

23205404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 23205404144 its reverse (44140450232), we get a palindrome (67345854376).

The spelling of 23205404144 in words is "twenty-three billion, two hundred five million, four hundred four thousand, one hundred forty-four".