226465204165560 has 256 divisors, whose sum is σ = 755607779942400. Its totient is φ = 60332845676544.

The previous prime is 226465204165517. The next prime is 226465204165619. The reversal of 226465204165560 is 65561402564622.

226465204165560 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 520 + 4 + 1 + 6 + 55 + 60 = 666.

It is a super-2 number, since 2×226465204165560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 226465204165497 and 226465204165506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5664017329 + ... + 5664057311.

It is an arithmetic number, because the mean of its divisors is an integer number (2951592890400).

Almost surely, 2^{226465204165560} is an apocalyptic number.

226465204165560 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 226465204165560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377803889971200).

226465204165560 is an abundant number, since it is smaller than the sum of its proper divisors (529142575776840).

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

226465204165560 is a wasteful number, since it uses less digits than its factorization.

226465204165560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44899 (or 44889 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 226465204165560 in words is "two hundred twenty-six trillion, four hundred sixty-five billion, two hundred four million, one hundred sixty-five thousand, five hundred sixty".