23882155128832 has 768 divisors, whose sum is σ = 66242028303360. Its totient is φ = 8308732723200.

The previous prime is 23882155128809. The next prime is 23882155128833.

23882155128832 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23882155128833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7931634207 + ... + 7931637217.

It is an arithmetic number, because the mean of its divisors is an integer number (86252641020).

Almost surely, 2^{23882155128832} is an apocalyptic number.

23882155128832 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 23882155128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33121014151680).

23882155128832 is an abundant number, since it is smaller than the sum of its proper divisors (42359873174528).

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

23882155128832 is a wasteful number, since it uses less digits than its factorization.

23882155128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3170 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 58.

The spelling of 23882155128832 in words is "twenty-three trillion, eight hundred eighty-two billion, one hundred fifty-five million, one hundred twenty-eight thousand, eight hundred thirty-two".