23643683358768 has 360 divisors, whose sum is σ = 72953097213360. Its totient is φ = 7142985907200.

The previous prime is 23643683358761. The next prime is 23643683358787. The reversal of 23643683358768 is 86785338634632.

23643683358768 is a `hidden beast` number, since 2 + 3 + 6 + 4 + 3 + 6 + 8 + 33 + 587 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23643683358696 and 23643683358705.

It is not an unprimeable number, because it can be changed into a prime (23643683358761) 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 71 ways as a sum of consecutive naturals, for example, 11652873978 + ... + 11652876006.

Almost surely, 2^{23643683358768} 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 23643683358768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36476548606680).

23643683358768 is an abundant number, since it is smaller than the sum of its proper divisors (49309413854592).

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

23643683358768 is a wasteful number, since it uses less digits than its factorization.

23643683358768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3749 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 72.

The spelling of 23643683358768 in words is "twenty-three trillion, six hundred forty-three billion, six hundred eighty-three million, three hundred fifty-eight thousand, seven hundred sixty-eight".