23668345628928 has 4032 divisors, whose sum is σ = 101272355487744. Its totient is φ = 5321023488000.

The previous prime is 23668345628887. The next prime is 23668345628929. The reversal of 23668345628928 is 82982654386632.

23668345628928 is a `hidden beast` number, since 2 + 3 + 6 + 6 + 8 + 34 + 562 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (23668345628929) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 353258889951 + ... + 353258890017.

Almost surely, 2^{23668345628928} is an apocalyptic number.

23668345628928 is a gapful number since it is divisible by the number (28) 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 23668345628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50636177743872).

23668345628928 is an abundant number, since it is smaller than the sum of its proper divisors (77604009858816).

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

23668345628928 is a wasteful number, since it uses less digits than its factorization.

23668345628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 72.

The spelling of 23668345628928 in words is "twenty-three trillion, six hundred sixty-eight billion, three hundred forty-five million, six hundred twenty-eight thousand, nine hundred twenty-eight".