226671943680 has 1344 divisors, whose sum is σ = 1004715653760. Its totient is φ = 45977960448.

The previous prime is 226671943661. The next prime is 226671943703. The reversal of 226671943680 is 86349176622.

226671943680 is a `hidden beast` number, since 2 + 2 + 66 + 71 + 9 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972840844 + ... + 972841076.

It is an arithmetic number, because the mean of its divisors is an integer number (747556290).

Almost surely, 2^226671943680 is an apocalyptic number.

226671943680 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 226671943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502357826880).

226671943680 is an abundant number, since it is smaller than the sum of its proper divisors (778043710080).

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

226671943680 is a wasteful number, since it uses less digits than its factorization.

226671943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 226671943680 in words is "two hundred twenty-six billion, six hundred seventy-one million, nine hundred forty-three thousand, six hundred eighty".