226540712686944 has 384 divisors, whose sum is σ = 659458677104640. Its totient is φ = 67824384915456.

The previous prime is 226540712686919. The next prime is 226540712686949. The reversal of 226540712686944 is 449686217045622.

226540712686944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226540712686949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719872159 + ... + 720186785.

It is an arithmetic number, because the mean of its divisors is an integer number (1717340304960).

Almost surely, 2^{226540712686944} is an apocalyptic number.

226540712686944 is a gapful number since it is divisible by the number (24) 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 226540712686944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329729338552320).

226540712686944 is an abundant number, since it is smaller than the sum of its proper divisors (432917964417696).

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

226540712686944 is a wasteful number, since it uses less digits than its factorization.

226540712686944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314970 (or 314962 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 226540712686944 in words is "two hundred twenty-six trillion, five hundred forty billion, seven hundred twelve million, six hundred eighty-six thousand, nine hundred forty-four".