4633723226000 has 160 divisors (see below), whose sum is σ = 12230348457600. Its totient is φ = 1683966144000.

The previous prime is 4633723225987. The next prime is 4633723226021. The reversal of 4633723226000 is 6223273364.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 36610826 + ... + 36737174.

It is an arithmetic number, because the mean of its divisors is an integer number (76439677860).

Almost surely, 2^{4633723226000} is an apocalyptic number.

4633723226000 is a gapful number since it is divisible by the number (40) 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 4633723226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115174228800).

4633723226000 is an abundant number, since it is smaller than the sum of its proper divisors (7596625231600).

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

4633723226000 is a wasteful number, since it uses less digits than its factorization.

4633723226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128050 (or 128034 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 38.

Adding to 4633723226000 its reverse (6223273364), we get a palindrome (4639946499364).

The spelling of 4633723226000 in words is "four trillion, six hundred thirty-three billion, seven hundred twenty-three million, two hundred twenty-six thousand".