226320278446080 has 1344 divisors, whose sum is σ = 1001340267153408. Its totient is φ = 47750900613120.

The previous prime is 226320278446079. The next prime is 226320278446123. The reversal of 226320278446080 is 80644872023622.

226320278446080 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 0 + 27 + 8 + 4 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×226320278446080² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905623545 + ... + 905873415.

It is an arithmetic number, because the mean of its divisors is an integer number (745044841632).

Almost surely, 2^{226320278446080} is an apocalyptic number.

226320278446080 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 226320278446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500670133576704).

226320278446080 is an abundant number, since it is smaller than the sum of its proper divisors (775019988707328).

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

226320278446080 is an equidigital number, since it uses as much as digits as its factorization.

226320278446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249937 (or 249901 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 226320278446080 in words is "two hundred twenty-six trillion, three hundred twenty billion, two hundred seventy-eight million, four hundred forty-six thousand, eighty".