23305621248 has 432 divisors, whose sum is σ = 85576720320. Its totient is φ = 5933039616.

The previous prime is 23305621247. The next prime is 23305621253. The reversal of 23305621248 is 84212650332.

23305621248 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 5 + 621 + 24 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23305621247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6078340 + ... + 6082172.

It is an arithmetic number, because the mean of its divisors is an integer number (198094260).

Almost surely, 2^23305621248 is an apocalyptic number.

23305621248 is a gapful number since it is divisible by the number (28) 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 23305621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42788360160).

23305621248 is an abundant number, since it is smaller than the sum of its proper divisors (62271099072).

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

23305621248 is a wasteful number, since it uses less digits than its factorization.

23305621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23305621248 in words is "twenty-three billion, three hundred five million, six hundred twenty-one thousand, two hundred forty-eight".