8198190000 has 1350 divisors, whose sum is σ = 39397010796. Its totient is φ = 1572480000.

The previous prime is 8198189969. The next prime is 8198190037. The reversal of 8198190000 is 918918.

It is a super-2 number, since 2×8198190000² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 630629994 + ... + 630630006.

Almost surely, 2^8198190000 is an apocalyptic number.

8198190000 is a gapful number since it is divisible by the number (80) 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 8198190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19698505398).

8198190000 is an abundant number, since it is smaller than the sum of its proper divisors (31198820796).

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

8198190000 is a wasteful number, since it uses less digits than its factorization.

8198190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

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

The square root of 8198190000 is about 90543.8567767024. The cubic root of 8198190000 is about 2016.3812936207.

It can be divided in two parts, 819 and 8190000, that multiplied together give a square (6707610000 = 81900²).

The spelling of 8198190000 in words is "eight billion, one hundred ninety-eight million, one hundred ninety thousand".