226160686080 has 528 divisors, whose sum is σ = 900822798720. Its totient is φ = 51391954944.

The previous prime is 226160686027. The next prime is 226160686099. The reversal of 226160686080 is 80686061622.

226160686080 is a `hidden beast` number, since 2 + 26 + 16 + 0 + 6 + 8 + 608 + 0 = 666.

It is a super-2 number, since 2×226160686080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57736282 + ... + 57740198.

Almost surely, 2^226160686080 is an apocalyptic number.

226160686080 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 226160686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450411399360).

226160686080 is an abundant number, since it is smaller than the sum of its proper divisors (674662112640).

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

226160686080 is a wasteful number, since it uses less digits than its factorization.

226160686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 226160686080 in words is "two hundred twenty-six billion, one hundred sixty million, six hundred eighty-six thousand, eighty".