8945123200 has 192 divisors, whose sum is σ = 24834348000. Its totient is φ = 3158876160.

The previous prime is 8945123171. The next prime is 8945123233. The reversal of 8945123200 is 23215498.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952126 + ... + 961474.

Almost surely, 2^8945123200 is an apocalyptic number.

8945123200 is a gapful number since it is divisible by the number (80) 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 8945123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417174000).

8945123200 is an abundant number, since it is smaller than the sum of its proper divisors (15889224800).

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

8945123200 is a wasteful number, since it uses less digits than its factorization.

8945123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9409 (or 9392 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 8945123200 is about 94578.6614411517. The cubic root of 8945123200 is about 2075.8474846593.

Adding to 8945123200 its reverse (23215498), we get a palindrome (8968338698).

The spelling of 8945123200 in words is "eight billion, nine hundred forty-five million, one hundred twenty-three thousand, two hundred".