23583735945 has 192 divisors, whose sum is σ = 54733086720. Its totient is φ = 9092966400.

The previous prime is 23583735913. The next prime is 23583735947. The reversal of 23583735945 is 54953738532.

23583735945 is a `hidden beast` number, since 2 + 3 + 583 + 7 + 3 + 59 + 4 + 5 = 666.

It is not a de Polignac number, because 23583735945 - 2⁵ = 23583735913 is a prime.

It is a super-2 number, since 2×23583735945² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23583735891 and 23583735900.

It is not an unprimeable number, because it can be changed into a prime (23583735947) 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 191 ways as a sum of consecutive naturals, for example, 4179436 + ... + 4185074.

It is an arithmetic number, because the mean of its divisors is an integer number (285068160).

Almost surely, 2^23583735945 is an apocalyptic number.

It is an amenable number.

23583735945 is an abundant number, since it is smaller than the sum of its proper divisors (31149350775).

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

23583735945 is a wasteful number, since it uses less digits than its factorization.

23583735945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5753 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

It can be divided in two parts, 23583 and 735945, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 23583735945 in words is "twenty-three billion, five hundred eighty-three million, seven hundred thirty-five thousand, nine hundred forty-five".