198908892000 has 1536 divisors, whose sum is σ = 916869058560. Its totient is φ = 40758681600.

The previous prime is 198908891989. The next prime is 198908892079. The reversal of 198908892000 is 298809891.

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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 363635727 + ... + 363636273.

It is an arithmetic number, because the mean of its divisors is an integer number (596919960).

Almost surely, 2^198908892000 is an apocalyptic number.

198908892000 is a gapful number since it is divisible by the number (10) 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 198908892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458434529280).

198908892000 is an abundant number, since it is smaller than the sum of its proper divisors (717960166560).

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

198908892000 is a wasteful number, since it uses less digits than its factorization.

198908892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 614 counting only the distinct ones).

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

The spelling of 198908892000 in words is "one hundred ninety-eight billion, nine hundred eight million, eight hundred ninety-two thousand".