23205322314528 has 144 divisors (see below), whose sum is σ = 61335031867200. Its totient is φ = 7681811461632.

The previous prime is 23205322314527. The next prime is 23205322314529. The reversal of 23205322314528 is 82541322350232.

It is an interprime number because it is at equal distance from previous prime (23205322314527) and next prime (23205322314529).

It is a super-2 number, since 2×23205322314528² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23205322314528.

It is not an unprimeable number, because it can be changed into a prime (23205322314527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8296502826 + ... + 8296505622.

It is an arithmetic number, because the mean of its divisors is an integer number (425937721300).

Almost surely, 2^{23205322314528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23205322314528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30667515933600).

23205322314528 is an abundant number, since it is smaller than the sum of its proper divisors (38129709552672).

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

23205322314528 is an equidigital number, since it uses as much as digits as its factorization.

23205322314528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 23205322314528 in words is "twenty-three trillion, two hundred five billion, three hundred twenty-two million, three hundred fourteen thousand, five hundred twenty-eight".