23688688632 has 256 divisors, whose sum is σ = 72232335360. Its totient is φ = 6328295424.

The previous prime is 23688688603. The next prime is 23688688637.

23688688632 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23688688632² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23688688637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38643558 + ... + 38644170.

It is an arithmetic number, because the mean of its divisors is an integer number (282157560).

Almost surely, 2^23688688632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23688688632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36116167680).

23688688632 is an abundant number, since it is smaller than the sum of its proper divisors (48543646728).

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

23688688632 is a wasteful number, since it uses less digits than its factorization.

23688688632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 23688688632 in words is "twenty-three billion, six hundred eighty-eight million, six hundred eighty-eight thousand, six hundred thirty-two".