226148582255360 has 576 divisors, whose sum is σ = 574016374794240. Its totient is φ = 85288326266880.

The previous prime is 226148582255303. The next prime is 226148582255377. The reversal of 226148582255360 is 63552285841622.

It is a super-2 number, since 2×226148582255360² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226148582255360.

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, 32441336675 + ... + 32441343645.

It is an arithmetic number, because the mean of its divisors is an integer number (996556206240).

Almost surely, 2^{226148582255360} is an apocalyptic number.

226148582255360 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 226148582255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287008187397120).

226148582255360 is an abundant number, since it is smaller than the sum of its proper divisors (347867792538880).

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

226148582255360 is an equidigital number, since it uses as much as digits as its factorization.

226148582255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 59.

The spelling of 226148582255360 in words is "two hundred twenty-six trillion, one hundred forty-eight billion, five hundred eighty-two million, two hundred fifty-five thousand, three hundred sixty".