226811007360 has 512 divisors, whose sum is σ = 966372480000. Its totient is φ = 49113464832.

The previous prime is 226811007347. The next prime is 226811007383. The reversal of 226811007360 is 63700118622.

226811007360 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 (36).

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 63 ways as a sum of consecutive naturals, for example, 2248896 + ... + 2347584.

It is an arithmetic number, because the mean of its divisors is an integer number (1887446250).

Almost surely, 2^226811007360 is an apocalyptic number.

226811007360 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 226811007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483186240000).

226811007360 is an abundant number, since it is smaller than the sum of its proper divisors (739561472640).

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

226811007360 is a wasteful number, since it uses less digits than its factorization.

226811007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98743 (or 98725 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 226811007360 in words is "two hundred twenty-six billion, eight hundred eleven million, seven thousand, three hundred sixty".