23204145330304 has 128 divisors (see below), whose sum is σ = 49369952459520. Its totient is φ = 10825240657920.

The previous prime is 23204145330251. The next prime is 23204145330313. The reversal of 23204145330304 is 40303354140232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 23204145330304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284160009 + ... + 284241655.

It is an arithmetic number, because the mean of its divisors is an integer number (385702753590).

Almost surely, 2^{23204145330304} 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 23204145330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684976229760).

23204145330304 is an abundant number, since it is smaller than the sum of its proper divisors (26165807129216).

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

23204145330304 is a wasteful number, since it uses less digits than its factorization.

23204145330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82806 (or 82794 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 23204145330304 its reverse (40303354140232), we get a palindrome (63507499470536).

The spelling of 23204145330304 in words is "twenty-three trillion, two hundred four billion, one hundred forty-five million, three hundred thirty thousand, three hundred four".