998188000920 has 1024 divisors, whose sum is σ = 3823983820800. Its totient is φ = 229485312000.

The previous prime is 998188000819. The next prime is 998188000921. The reversal of 998188000920 is 29000881899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998188000921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3209607565 + ... + 3209607875.

It is an arithmetic number, because the mean of its divisors is an integer number (3734359200).

Almost surely, 2^998188000920 is an apocalyptic number.

998188000920 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 998188000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911991910400).

998188000920 is an abundant number, since it is smaller than the sum of its proper divisors (2825795819880).

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

998188000920 is a wasteful number, since it uses less digits than its factorization.

998188000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 998188000920 in words is "nine hundred ninety-eight billion, one hundred eighty-eight million, nine hundred twenty", and thus it is an aban number.