226180981739160 has 576 divisors, whose sum is σ = 860722891610400. Its totient is φ = 51359777280000.

The previous prime is 226180981739137. The next prime is 226180981739171. The reversal of 226180981739160 is 61937189081622.

226180981739160 is a `hidden beast` number, since 2 + 2 + 6 + 180 + 9 + 8 + 1 + 7 + 391 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1722286300 + ... + 1722417620.

Almost surely, 2^{226180981739160} is an apocalyptic number.

226180981739160 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 226180981739160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430361445805200).

226180981739160 is an abundant number, since it is smaller than the sum of its proper divisors (634541909871240).

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

226180981739160 is a wasteful number, since it uses less digits than its factorization.

226180981739160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131992 (or 131978 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 226180981739160 in words is "two hundred twenty-six trillion, one hundred eighty billion, nine hundred eighty-one million, seven hundred thirty-nine thousand, one hundred sixty".