99944499600 has 405 divisors, whose sum is σ = 382029606049. Its totient is φ = 24178387200.

The previous prime is 99944499581. The next prime is 99944499649. The reversal of 99944499600 is 699444999.

The square root of 99944499600 is 316140.

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

It can be written as a sum of positive squares in only one way, i.e., 35980019856 + 63964479744 = 189684^2 + 252912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 208652161 + ... + 208652639.

Almost surely, 2^99944499600 is an apocalyptic number.

99944499600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99944499600 is the 316140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99944499600

99944499600 is an abundant number, since it is smaller than the sum of its proper divisors (282085106449).

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

99944499600 is a wasteful number, since it uses less digits than its factorization.

99944499600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 99944499600 in words is "ninety-nine billion, nine hundred forty-four million, four hundred ninety-nine thousand, six hundred".