23033245826304 has 720 divisors, whose sum is σ = 84518920886400. Its totient is φ = 6088795619328.

The previous prime is 23033245826303. The next prime is 23033245826323. The reversal of 23033245826304 is 40362854233032.

23033245826304 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 3 + 2 + 4 + 5 + 8 + 2 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23033245826304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23033245826303) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 145508352 + ... + 145666560.

It is an arithmetic number, because the mean of its divisors is an integer number (117387390120).

Almost surely, 2^{23033245826304} is an apocalyptic number.

23033245826304 is a gapful number since it is divisible by the number (24) 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 23033245826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42259460443200).

23033245826304 is an abundant number, since it is smaller than the sum of its proper divisors (61485675060096).

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

23033245826304 is a wasteful number, since it uses less digits than its factorization.

23033245826304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158320 (or 158297 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 23033245826304 in words is "twenty-three trillion, thirty-three billion, two hundred forty-five million, eight hundred twenty-six thousand, three hundred four".