8187198012 has 192 divisors, whose sum is σ = 24835507200. Its totient is φ = 2284104960.

The previous prime is 8187197971. The next prime is 8187198031. The reversal of 8187198012 is 2108917818.

It is a happy number.

It is a super-2 number, since 2×8187198012² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7715962 + ... + 7717022.

It is an arithmetic number, because the mean of its divisors is an integer number (129351600).

Almost surely, 2^8187198012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8187198012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417753600).

8187198012 is an abundant number, since it is smaller than the sum of its proper divisors (16648309188).

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

8187198012 is a wasteful number, since it uses less digits than its factorization.

8187198012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The square root of 8187198012 is about 90483.1366167199. The cubic root of 8187198012 is about 2015.4797144475.

The spelling of 8187198012 in words is "eight billion, one hundred eighty-seven million, one hundred ninety-eight thousand, twelve".