8314020000 has 1440 divisors, whose sum is σ = 38685366720. Its totient is φ = 1658880000.

The previous prime is 8314019999. The next prime is 8314020007. The reversal of 8314020000 is 204138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8314020007) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 437579991 + ... + 437580009.

It is an arithmetic number, because the mean of its divisors is an integer number (26864838).

Almost surely, 2^8314020000 is an apocalyptic number.

8314020000 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 8314020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342683360).

8314020000 is an abundant number, since it is smaller than the sum of its proper divisors (30371346720).

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

8314020000 is a wasteful number, since it uses less digits than its factorization.

8314020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8314020000 is about 91181.2480721776. The cubic root of 8314020000 is about 2025.8332190685.

Adding to 8314020000 its reverse (204138), we get a palindrome (8314224138).

The spelling of 8314020000 in words is "eight billion, three hundred fourteen million, twenty thousand".