23038456391328 has 192 divisors, whose sum is σ = 69749204861952. Its totient is φ = 6522087936000.

The previous prime is 23038456391323. The next prime is 23038456391339. The reversal of 23038456391328 is 82319365483032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23038456391323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246821275 + ... + 246914597.

It is an arithmetic number, because the mean of its divisors is an integer number (363277108656).

Almost surely, 2^{23038456391328} is an apocalyptic number.

23038456391328 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 23038456391328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34874602430976).

23038456391328 is an abundant number, since it is smaller than the sum of its proper divisors (46710748470624).

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

23038456391328 is a wasteful number, since it uses less digits than its factorization.

23038456391328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96707 (or 96699 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 23038456391328 in words is "twenty-three trillion, thirty-eight billion, four hundred fifty-six million, three hundred ninety-one thousand, three hundred twenty-eight".