226452390126480 has 1200 divisors, whose sum is σ = 934040492961840. Its totient is φ = 50682243096576.

The previous prime is 226452390126451. The next prime is 226452390126493. The reversal of 226452390126480 is 84621093254622.

226452390126480 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 5 + 2 + 39 + 0 + 126 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33485619128976 + 192966770997504 = 5786676^2 + 13891248^2 .

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

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 239 ways as a sum of consecutive naturals, for example, 8565723822 + ... + 8565750258.

Almost surely, 2^{226452390126480} is an apocalyptic number.

226452390126480 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 226452390126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467020246480920).

226452390126480 is an abundant number, since it is smaller than the sum of its proper divisors (707588102835360).

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

226452390126480 is a wasteful number, since it uses less digits than its factorization.

226452390126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27038 (or 27016 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 226452390126480 in words is "two hundred twenty-six trillion, four hundred fifty-two billion, three hundred ninety million, one hundred twenty-six thousand, four hundred eighty".