23355648000 has 768 divisors, whose sum is σ = 89945856000. Its totient is φ = 5971968000.

The previous prime is 23355647993. The next prime is 23355648037. The reversal of 23355648000 is 84655332.

It is a happy number.

23355648000 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 5 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214271946 + ... + 214272054.

It is an arithmetic number, because the mean of its divisors is an integer number (117117000).

Almost surely, 2^23355648000 is an apocalyptic number.

23355648000 is a gapful number since it is divisible by the number (20) 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 23355648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928000).

23355648000 is an abundant number, since it is smaller than the sum of its proper divisors (66590208000).

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

23355648000 is a wasteful number, since it uses less digits than its factorization.

23355648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23355648000 in words is "twenty-three billion, three hundred fifty-five million, six hundred forty-eight thousand".