23102642304 has 288 divisors, whose sum is σ = 78281789040. Its totient is φ = 6519905280.

The previous prime is 23102642291. The next prime is 23102642309. The reversal of 23102642304 is 40324620132.

23102642304 is a `hidden beast` number, since 2 + 3 + 10 + 2 + 642 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (23102642309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4682719 + ... + 4687649.

Almost surely, 2^23102642304 is an apocalyptic number.

23102642304 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 23102642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39140894520).

23102642304 is an abundant number, since it is smaller than the sum of its proper divisors (55179146736).

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

23102642304 is a wasteful number, since it uses less digits than its factorization.

23102642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 23102642304 in words is "twenty-three billion, one hundred two million, six hundred forty-two thousand, three hundred four".