306422800000 has 192 divisors, whose sum is σ = 765289690200. Its totient is φ = 122204160000.

The previous prime is 306422799983. The next prime is 306422800027. The reversal of 306422800000 is 8224603.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 162138296896 + 144284503104 = 402664^2 + 379848^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 163599064 + ... + 163600936.

Almost surely, 2^306422800000 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 306422800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382644845100).

306422800000 is an abundant number, since it is smaller than the sum of its proper divisors (458866890200).

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

306422800000 is an frugal number, since it uses more digits than its factorization.

306422800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 306422800000 in words is "three hundred six billion, four hundred twenty-two million, eight hundred thousand".