23204278476288 has 1280 divisors, whose sum is σ = 86635734958080. Its totient is φ = 5969579212800.

The previous prime is 23204278476283. The next prime is 23204278476299. The reversal of 23204278476288 is 88267487240232.

It is a happy number.

23204278476288 is a `hidden beast` number, since 2 + 3 + 204 + 2 + 7 + 84 + 76 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23204278476283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9745600858 + ... + 9745603238.

It is an arithmetic number, because the mean of its divisors is an integer number (67684167936).

Almost surely, 2^{23204278476288} is an apocalyptic number.

23204278476288 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 23204278476288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43317867479040).

23204278476288 is an abundant number, since it is smaller than the sum of its proper divisors (63431456481792).

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

23204278476288 is a wasteful number, since it uses less digits than its factorization.

23204278476288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 23204278476288 in words is "twenty-three trillion, two hundred four billion, two hundred seventy-eight million, four hundred seventy-six thousand, two hundred eighty-eight".