998818045056 has 640 divisors, whose sum is σ = 3257782965360. Its totient is φ = 301942702080.

The previous prime is 998818044997. The next prime is 998818045061. The reversal of 998818045056 is 650540818899.

998818045056 is a `hidden beast` number, since 99 + 88 + 18 + 0 + 450 + 5 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 168605499456 + 830212545600 = 410616^2 + 911160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 998818044984 and 998818045002.

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 79 ways as a sum of consecutive naturals, for example, 3150845410 + ... + 3150845726.

Almost surely, 2^998818045056 is an apocalyptic number.

998818045056 is a gapful number since it is divisible by the number (96) 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 998818045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628891482680).

998818045056 is an abundant number, since it is smaller than the sum of its proper divisors (2258964920304).

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

998818045056 is a wasteful number, since it uses less digits than its factorization.

998818045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 998818045056 in words is "nine hundred ninety-eight billion, eight hundred eighteen million, forty-five thousand, fifty-six".