8422116000 has 192 divisors, whose sum is σ = 27839500416. Its totient is φ = 2225664000.

The previous prime is 8422115993. The next prime is 8422116037. The reversal of 8422116000 is 6112248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352895 + ... + 1359105.

It is an arithmetic number, because the mean of its divisors is an integer number (144997398).

Almost surely, 2^8422116000 is an apocalyptic number.

8422116000 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 8422116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919750208).

8422116000 is an abundant number, since it is smaller than the sum of its proper divisors (19417384416).

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

8422116000 is a wasteful number, since it uses less digits than its factorization.

8422116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8422116000 is about 91772.0872596892. The cubic root of 8422116000 is about 2034.5751678333.

Adding to 8422116000 its reverse (6112248), we get a palindrome (8428228248).

The spelling of 8422116000 in words is "eight billion, four hundred twenty-two million, one hundred sixteen thousand".