23468928768 has 144 divisors (see below), whose sum is σ = 69934233600. Its totient is φ = 7762959360.

The previous prime is 23468928767. The next prime is 23468928779. The reversal of 23468928768 is 86782986432.

23468928768 is a `hidden beast` number, since 2 + 3 + 468 + 92 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23468928767) 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 15 ways as a sum of consecutive naturals, for example, 892513 + ... + 918431.

It is an arithmetic number, because the mean of its divisors is an integer number (485654400).

Almost surely, 2^23468928768 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 23468928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34967116800).

23468928768 is an abundant number, since it is smaller than the sum of its proper divisors (46465304832).

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

23468928768 is a wasteful number, since it uses less digits than its factorization.

23468928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26075 (or 26055 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 23468928768 in words is "twenty-three billion, four hundred sixty-eight million, nine hundred twenty-eight thousand, seven hundred sixty-eight".