226036384000 has 576 divisors, whose sum is σ = 662971825152. Its totient is φ = 75202560000.

The previous prime is 226036383997. The next prime is 226036384003. The reversal of 226036384000 is 483630622.

It is an interprime number because it is at equal distance from previous prime (226036383997) and next prime (226036384003).

It is not an unprimeable number, because it can be changed into a prime (226036384003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2194527949 + ... + 2194528051.

It is an arithmetic number, because the mean of its divisors is an integer number (1150992752).

Almost surely, 2^226036384000 is an apocalyptic number.

226036384000 is a gapful number since it is divisible by the number (20) 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 226036384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331485912576).

226036384000 is an abundant number, since it is smaller than the sum of its proper divisors (436935441152).

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

226036384000 is a wasteful number, since it uses less digits than its factorization.

226036384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 226036384000 in words is "two hundred twenty-six billion, thirty-six million, three hundred eighty-four thousand".