23220968975568 has 1200 divisors, whose sum is σ = 93840610691520. Its totient is φ = 5460534632448.

The previous prime is 23220968975557. The next prime is 23220968975593. The reversal of 23220968975568 is 86557986902232.

23220968975568 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 9 + 68 + 9 + 7 + 556 + 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 = 23220968975496 and 23220968975505.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 266609755 + ... + 266696837.

Almost surely, 2^{23220968975568} is an apocalyptic number.

23220968975568 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 23220968975568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46920305345760).

23220968975568 is an abundant number, since it is smaller than the sum of its proper divisors (70619641715952).

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

23220968975568 is a wasteful number, since it uses less digits than its factorization.

23220968975568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87166 (or 87144 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 23220968975568 in words is "twenty-three trillion, two hundred twenty billion, nine hundred sixty-eight million, nine hundred seventy-five thousand, five hundred sixty-eight".