226946311680 has 640 divisors, whose sum is σ = 882245675520. Its totient is φ = 49049763840.

The previous prime is 226946311619. The next prime is 226946311681. The reversal of 226946311680 is 86113649622.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226946311681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27282882 + ... + 27291198.

It is an arithmetic number, because the mean of its divisors is an integer number (1378508868).

Almost surely, 2^226946311680 is an apocalyptic number.

226946311680 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 226946311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441122837760).

226946311680 is an abundant number, since it is smaller than the sum of its proper divisors (655299363840).

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

226946311680 is a wasteful number, since it uses less digits than its factorization.

226946311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 226946311680 in words is "two hundred twenty-six billion, nine hundred forty-six million, three hundred eleven thousand, six hundred eighty".