23817228982272 has 1152 divisors, whose sum is σ = 82318384512000. Its totient is φ = 6746014679040.

The previous prime is 23817228982241. The next prime is 23817228982273. The reversal of 23817228982272 is 27228982271832.

23817228982272 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 7 + 2 + 289 + 82 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23817228982273) 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 95 ways as a sum of consecutive naturals, for example, 17346852178 + ... + 17346853550.

It is an arithmetic number, because the mean of its divisors is an integer number (71456931000).

Almost surely, 2^{23817228982272} is an apocalyptic number.

23817228982272 is a gapful number since it is divisible by the number (22) 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 23817228982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41159192256000).

23817228982272 is an abundant number, since it is smaller than the sum of its proper divisors (58501155529728).

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

23817228982272 is a wasteful number, since it uses less digits than its factorization.

23817228982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1487 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 23817228982272 in words is "twenty-three trillion, eight hundred seventeen billion, two hundred twenty-eight million, nine hundred eighty-two thousand, two hundred seventy-two".