226337180160 has 960 divisors, whose sum is σ = 922934428416. Its totient is φ = 46077050880.

The previous prime is 226337180159. The next prime is 226337180171. The reversal of 226337180160 is 61081733622.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 671623512 + ... + 671623848.

Almost surely, 2^226337180160 is an apocalyptic number.

226337180160 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 226337180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461467214208).

226337180160 is an abundant number, since it is smaller than the sum of its proper divisors (696597248256).

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

226337180160 is a wasteful number, since it uses less digits than its factorization.

226337180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 226337180160 in words is "two hundred twenty-six billion, three hundred thirty-seven million, one hundred eighty thousand, one hundred sixty".