23841828864 has 468 divisors, whose sum is σ = 81720165384. Its totient is φ = 6676217856.

The previous prime is 23841828863. The next prime is 23841828877. The reversal of 23841828864 is 46882814832.

23841828864 is a `hidden beast` number, since 2 + 384 + 182 + 8 + 86 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23841828864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23841828863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121024414 + ... + 121024610.

It is an arithmetic number, because the mean of its divisors is an integer number (174615738).

Almost surely, 2^23841828864 is an apocalyptic number.

23841828864 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 23841828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40860082692).

23841828864 is an abundant number, since it is smaller than the sum of its proper divisors (57878336520).

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

23841828864 is a wasteful number, since it uses less digits than its factorization.

23841828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 23841828864 in words is "twenty-three billion, eight hundred forty-one million, eight hundred twenty-eight thousand, eight hundred sixty-four".