23264988821568 has 336 divisors, whose sum is σ = 77637311344320. Its totient is φ = 6598406541312.

The previous prime is 23264988821513. The next prime is 23264988821579. The reversal of 23264988821568 is 86512888946232.

23264988821568 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 498 + 8 + 82 + 1 + 56 + 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 = 23264988821496 and 23264988821505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3054271 + ... + 7473857.

It is an arithmetic number, because the mean of its divisors is an integer number (231063426620).

Almost surely, 2^{23264988821568} 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 23264988821568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38818655672160).

23264988821568 is an abundant number, since it is smaller than the sum of its proper divisors (54372322522752).

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

23264988821568 is a wasteful number, since it uses less digits than its factorization.

23264988821568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419674 (or 4419661 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 23264988821568 in words is "twenty-three trillion, two hundred sixty-four billion, nine hundred eighty-eight million, eight hundred twenty-one thousand, five hundred sixty-eight".