23678423138304 has 609 divisors, whose sum is σ = 78044387461159. Its totient is φ = 7175279738880.

The previous prime is 23678423138299. The next prime is 23678423138339. The reversal of 23678423138304 is 40383132487632.

The square root of 23678423138304 is 4866048.

It is a perfect power (a square), and thus also a powerful number.

23678423138304 is a `hidden beast` number, since 2 + 3 + 6 + 78 + 4 + 231 + 38 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2152583921659 + ... + 2152583921669.

Almost surely, 2^{23678423138304} is an apocalyptic number.

23678423138304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23678423138304 is the 4866048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23678423138304

23678423138304 is an abundant number, since it is smaller than the sum of its proper divisors (54365964322855).

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

23678423138304 is an frugal number, since it uses more digits than its factorization.

23678423138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 23678423138304 in words is "twenty-three trillion, six hundred seventy-eight billion, four hundred twenty-three million, one hundred thirty-eight thousand, three hundred four".