998101008000 has 2048 divisors, whose sum is σ = 4289366016000. Its totient is φ = 226271232000.

The previous prime is 998101007971. The next prime is 998101008029. The reversal of 998101008000 is 800101899.

It is an interprime number because it is at equal distance from previous prime (998101007971) and next prime (998101008029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3209327845 + ... + 3209328155.

It is an arithmetic number, because the mean of its divisors is an integer number (2094417000).

Almost surely, 2^998101008000 is an apocalyptic number.

998101008000 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 998101008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144683008000).

998101008000 is an abundant number, since it is smaller than the sum of its proper divisors (3291265008000).

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

998101008000 is a wasteful number, since it uses less digits than its factorization.

998101008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

Adding to 998101008000 its reverse (800101899), we get a palindrome (998901109899).

The spelling of 998101008000 in words is "nine hundred ninety-eight billion, one hundred one million, eight thousand".