9123516900 has 162 divisors, whose sum is σ = 30182561682. Its totient is φ = 2304806400.

The previous prime is 9123516889. The next prime is 9123516967. The reversal of 9123516900 is 96153219.

It can be written as a sum of positive squares in 3 ways, for example, as 127373796 + 8996143104 = 11286^2 + 94848^2 .

It is a super-2 number, since 2×9123516900² (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 310860 + ... + 338940.

Almost surely, 2^9123516900 is an apocalyptic number.

9123516900 is a gapful number since it is divisible by the number (90) 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 9123516900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091280841).

9123516900 is an abundant number, since it is smaller than the sum of its proper divisors (21059044782).

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

9123516900 is a wasteful number, since it uses less digits than its factorization.

9123516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28139 (or 28110 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9123516900 is about 95517.1026570635. The cubic root of 9123516900 is about 2089.5563796737.

The spelling of 9123516900 in words is "nine billion, one hundred twenty-three million, five hundred sixteen thousand, nine hundred".