226067210496 has 540 divisors, whose sum is σ = 725018681772. Its totient is φ = 70005399552.

The previous prime is 226067210477. The next prime is 226067210543. The reversal of 226067210496 is 694012760622.

226067210496 is a `hidden beast` number, since 22 + 60 + 6 + 72 + 10 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109693440000 + 116373770496 = 331200^2 + 341136^2 .

It is a super-2 number, since 2×226067210496² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 405865450 + ... + 405866006.

Almost surely, 2^226067210496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226067210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362509340886).

226067210496 is an abundant number, since it is smaller than the sum of its proper divisors (498951471276).

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

226067210496 is an equidigital number, since it uses as much as digits as its factorization.

226067210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 226067210496 in words is "two hundred twenty-six billion, sixty-seven million, two hundred ten thousand, four hundred ninety-six".