8319100000 has 144 divisors (see below), whose sum is σ = 21367444896. Its totient is φ = 3182080000.

The previous prime is 8319099917. The next prime is 8319100019. The reversal of 8319100000 is 19138.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2298192 + ... + 2301808.

It is an arithmetic number, because the mean of its divisors is an integer number (148385034).

Almost surely, 2^8319100000 is an apocalyptic number.

8319100000 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 8319100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10683722448).

8319100000 is an abundant number, since it is smaller than the sum of its proper divisors (13048344896).

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

8319100000 is an equidigital number, since it uses as much as digits as its factorization.

8319100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 8319100000 is about 91209.1004231486. The cubic root of 8319100000 is about 2026.2457406256.

Adding to 8319100000 its reverse (19138), we get a palindrome (8319119138).

The spelling of 8319100000 in words is "eight billion, three hundred nineteen million, one hundred thousand".