23768803305 has 48 divisors (see below), whose sum is σ = 44409652560. Its totient is φ = 11690694144.

The previous prime is 23768803297. The next prime is 23768803319. The reversal of 23768803305 is 50330886732.

23768803305 is a `hidden beast` number, since 237 + 6 + 8 + 80 + 330 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9130949136 + 14637854169 = 95556^2 + 120987^2 .

It is not a de Polignac number, because 23768803305 - 2³ = 23768803297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 630447 + ... + 667083.

It is an arithmetic number, because the mean of its divisors is an integer number (925201095).

Almost surely, 2^23768803305 is an apocalyptic number.

It is an amenable number.

23768803305 is a deficient number, since it is larger than the sum of its proper divisors (20640849255).

23768803305 is a wasteful number, since it uses less digits than its factorization.

23768803305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37770 (or 37767 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23768803305 in words is "twenty-three billion, seven hundred sixty-eight million, eight hundred three thousand, three hundred five".