998560518400 has 81 divisors (see below), whose sum is σ = 2471791193893. Its totient is φ = 399392230400.

The previous prime is 998560518379. The next prime is 998560518409. The reversal of 998560518400 is 4815065899.

The square root of 998560518400 is 999280.

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., 359481786624 + 639078731776 = 599568^2 + 799424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998560518409) by changing a digit.

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, 79936155 + ... + 79948645.

Almost surely, 2^998560518400 is an apocalyptic number.

998560518400 is the 999280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998560518400

998560518400 is an abundant number, since it is smaller than the sum of its proper divisors (1473230675493).

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

998560518400 is an frugal number, since it uses more digits than its factorization.

998560518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25008 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 998560518400 in words is "nine hundred ninety-eight billion, five hundred sixty million, five hundred eighteen thousand, four hundred".