9798624144 has 135 divisors (see below), whose sum is σ = 28051560147. Its totient is φ = 3192956928.

The previous prime is 9798624131. The next prime is 9798624149. The reversal of 9798624144 is 4414268979.

The square root of 9798624144 is 98988.

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

9798624144 is a `hidden beast` number, since 9 + 7 + 9 + 8 + 624 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2982470544 + 6816153600 = 54612^2 + 82560^2 .

It is a super-3 number, since 3×9798624144³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9798624149) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 86713432 + ... + 86713544.

Almost surely, 2^9798624144 is an apocalyptic number.

9798624144 is the 98988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9798624144

9798624144 is an abundant number, since it is smaller than the sum of its proper divisors (18252936003).

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

9798624144 is a wasteful number, since it uses less digits than its factorization.

9798624144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The cubic root of 9798624144 is about 2139.8748102734.

The spelling of 9798624144 in words is "nine billion, seven hundred ninety-eight million, six hundred twenty-four thousand, one hundred forty-four".