998832312000 has 672 divisors, whose sum is σ = 3625543696320. Its totient is φ = 262469222400.

The previous prime is 998832311999. The next prime is 998832312007. The reversal of 998832312000 is 213238899.

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 (998832312007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383847791 + ... + 2383848209.

It is an arithmetic number, because the mean of its divisors is an integer number (5395154310).

Almost surely, 2^998832312000 is an apocalyptic number.

998832312000 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 998832312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812771848160).

998832312000 is an abundant number, since it is smaller than the sum of its proper divisors (2626711384320).

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

998832312000 is a wasteful number, since it uses less digits than its factorization.

998832312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 998832312000 in words is "nine hundred ninety-eight billion, eight hundred thirty-two million, three hundred twelve thousand".