226771009081344 has 1040 divisors, whose sum is σ = 882807591270528. Its totient is φ = 56289508982784.

The previous prime is 226771009081343. The next prime is 226771009081537. The reversal of 226771009081344 is 443180900177622.

226771009081344 is a `hidden beast` number, since 226 + 7 + 71 + 0 + 0 + 9 + 0 + 8 + 1 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (226771009081343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 513036559 + ... + 513478385.

Almost surely, 2^{226771009081344} is an apocalyptic number.

226771009081344 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 226771009081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441403795635264).

226771009081344 is an abundant number, since it is smaller than the sum of its proper divisors (656036582189184).

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

226771009081344 is a wasteful number, since it uses less digits than its factorization.

226771009081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441900 (or 441869 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 226771009081344 in words is "two hundred twenty-six trillion, seven hundred seventy-one billion, nine million, eighty-one thousand, three hundred forty-four".