226296262778880 has 2688 divisors, whose sum is σ = 902071781222400. Its totient is φ = 48380903424000.

The previous prime is 226296262778851. The next prime is 226296262778903. The reversal of 226296262778880 is 88877262692622.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1498650746805 + ... + 1498650746955.

Almost surely, 2^{226296262778880} is an apocalyptic number.

226296262778880 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 226296262778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451035890611200).

226296262778880 is an abundant number, since it is smaller than the sum of its proper divisors (675775518443520).

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

226296262778880 is an equidigital number, since it uses as much as digits as its factorization.

226296262778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 75.

The spelling of 226296262778880 in words is "two hundred twenty-six trillion, two hundred ninety-six billion, two hundred sixty-two million, seven hundred seventy-eight thousand, eight hundred eighty".