23102703028224 has 1008 divisors, whose sum is σ = 75629777392260. Its totient is φ = 7023671377920.

The previous prime is 23102703028177. The next prime is 23102703028267. The reversal of 23102703028224 is 42282030720132.

23102703028224 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 270 + 302 + 82 + 2 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1051789722624 + 22050913305600 = 1025568^2 + 4695840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 155051698102 + ... + 155051698250.

Almost surely, 2^{23102703028224} is an apocalyptic number.

23102703028224 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 23102703028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37814888696130).

23102703028224 is an abundant number, since it is smaller than the sum of its proper divisors (52527074364036).

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

23102703028224 is an frugal number, since it uses more digits than its factorization.

23102703028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 23102703028224 its reverse (42282030720132), we get a palindrome (65384733748356).

The spelling of 23102703028224 in words is "twenty-three trillion, one hundred two billion, seven hundred three million, twenty-eight thousand, two hundred twenty-four".