9903168424900 has 27 divisors (see below), whose sum is σ = 21489943770631. Its totient is φ = 3961254782240.

The previous prime is 9903168424889. The next prime is 9903168424957. The reversal of 9903168424900 is 94248613099.

The square root of 9903168424900 is 3146930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1725581740996 + 8177586683904 = 1313614^2 + 2859648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31311954 + ... + 31626646.

Almost surely, 2^{9903168424900} is an apocalyptic number.

9903168424900 is the 3146930-th square number.

It is an amenable number.

9903168424900 is an abundant number, since it is smaller than the sum of its proper divisors (11586775345731).

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

9903168424900 is an frugal number, since it uses more digits than its factorization.

9903168424900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629400 (or 314700 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 9903168424900 in words is "nine trillion, nine hundred three billion, one hundred sixty-eight million, four hundred twenty-four thousand, nine hundred".