998205624000 has 672 divisors, whose sum is σ = 3883862062080. Its totient is φ = 243256320000.

The previous prime is 998205623971. The next prime is 998205624007. The reversal of 998205624000 is 426502899.

998205624000 is a `hidden beast` number, since 9 + 9 + 82 + 0 + 562 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (998205624007) 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 95 ways as a sum of consecutive naturals, for example, 94530721 + ... + 94541279.

It is an arithmetic number, because the mean of its divisors is an integer number (5779556640).

Almost surely, 2^998205624000 is an apocalyptic number.

998205624000 is a gapful number since it is divisible by the number (90) 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 998205624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941931031040).

998205624000 is an abundant number, since it is smaller than the sum of its proper divisors (2885656438080).

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

998205624000 is a wasteful number, since it uses less digits than its factorization.

998205624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 998205624000 in words is "nine hundred ninety-eight billion, two hundred five million, six hundred twenty-four thousand".