226811004000 has 1152 divisors, whose sum is σ = 932739784704. Its totient is φ = 47900160000.

The previous prime is 226811003911. The next prime is 226811004019. The reversal of 226811004000 is 400118622.

226811004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419243730 + ... + 419244270.

It is an arithmetic number, because the mean of its divisors is an integer number (809669952).

Almost surely, 2^226811004000 is an apocalyptic number.

226811004000 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 226811004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466369892352).

226811004000 is an abundant number, since it is smaller than the sum of its proper divisors (705928780704).

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

226811004000 is a wasteful number, since it uses less digits than its factorization.

226811004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 612 counting only the distinct ones).

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

The spelling of 226811004000 in words is "two hundred twenty-six billion, eight hundred eleven million, four thousand".