23645131600500 has 576 divisors, whose sum is σ = 76754560296960. Its totient is φ = 6125258880000.

The previous prime is 23645131600459. The next prime is 23645131600511. The reversal of 23645131600500 is 500613154632.

23645131600500 is a `hidden beast` number, since 2 + 3 + 6 + 45 + 1 + 3 + 1 + 600 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13216953606 + ... + 13216955394.

It is an arithmetic number, because the mean of its divisors is an integer number (133254444960).

Almost surely, 2^{23645131600500} is an apocalyptic number.

23645131600500 is a gapful number since it is divisible by the number (20) 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 23645131600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38377280148480).

23645131600500 is an abundant number, since it is smaller than the sum of its proper divisors (53109428696460).

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

23645131600500 is a wasteful number, since it uses less digits than its factorization.

23645131600500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 23645131600500 in words is "twenty-three trillion, six hundred forty-five billion, one hundred thirty-one million, six hundred thousand, five hundred".