23763765811968 has 864 divisors, whose sum is σ = 90373730743296. Its totient is φ = 5832805220352.

The previous prime is 23763765811901. The next prime is 23763765812023. The reversal of 23763765811968 is 86911856736732.

It is a happy number.

23763765811968 is a `hidden beast` number, since 2 + 3 + 7 + 6 + 37 + 6 + 581 + 1 + 9 + 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 = 23763765811896 and 23763765811905.

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 95 ways as a sum of consecutive naturals, for example, 178357471 + ... + 178490657.

Almost surely, 2^{23763765811968} is an apocalyptic number.

23763765811968 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 23763765811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45186865371648).

23763765811968 is an abundant number, since it is smaller than the sum of its proper divisors (66609964931328).

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

23763765811968 is a wasteful number, since it uses less digits than its factorization.

23763765811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133289 (or 133272 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 23763765811968 in words is "twenty-three trillion, seven hundred sixty-three billion, seven hundred sixty-five million, eight hundred eleven thousand, nine hundred sixty-eight".