23748208608384 has 1024 divisors, whose sum is σ = 81391407552000. Its totient is φ = 6751583207424.

The previous prime is 23748208608379. The next prime is 23748208608433. The reversal of 23748208608384 is 48380680284732.

23748208608384 is a `hidden beast` number, since 2 + 3 + 7 + 48 + 208 + 6 + 0 + 8 + 384 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19906293292 + ... + 19906294484.

Almost surely, 2^{23748208608384} is an apocalyptic number.

23748208608384 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 23748208608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40695703776000).

23748208608384 is an abundant number, since it is smaller than the sum of its proper divisors (57643198943616).

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

23748208608384 is a wasteful number, since it uses less digits than its factorization.

23748208608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 23748208608384 in words is "twenty-three trillion, seven hundred forty-eight billion, two hundred eight million, six hundred eight thousand, three hundred eighty-four".