23041861524864 has 768 divisors, whose sum is σ = 83364240960000. Its totient is φ = 6070248124416.

The previous prime is 23041861524839. The next prime is 23041861524883. The reversal of 23041861524864 is 46842516814032.

23041861524864 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 1 + 8 + 6 + 152 + 486 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23041861524864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6097341727 + ... + 6097345505.

It is an arithmetic number, because the mean of its divisors is an integer number (108547188750).

Almost surely, 2^{23041861524864} is an apocalyptic number.

23041861524864 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 23041861524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41682120480000).

23041861524864 is an abundant number, since it is smaller than the sum of its proper divisors (60322379435136).

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

23041861524864 is a wasteful number, since it uses less digits than its factorization.

23041861524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 23041861524864 in words is "twenty-three trillion, forty-one billion, eight hundred sixty-one million, five hundred twenty-four thousand, eight hundred sixty-four".