23082244228032 has 168 divisors, whose sum is σ = 67133715422928. Its totient is φ = 6994073518080.

The previous prime is 23082244228013. The next prime is 23082244228081.

23082244228032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23082244228032² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 376165098 + ... + 376226454.

It is an arithmetic number, because the mean of its divisors is an integer number (399605448946).

Almost surely, 2^{23082244228032} is an apocalyptic number.

23082244228032 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 23082244228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566857711464).

23082244228032 is an abundant number, since it is smaller than the sum of its proper divisors (44051471194896).

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

23082244228032 is a wasteful number, since it uses less digits than its factorization.

23082244228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77587 (or 77566 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 23082244228032 in words is "twenty-three trillion, eighty-two billion, two hundred forty-four million, two hundred twenty-eight thousand, thirty-two".