1226458368 has 144 divisors (see below), whose sum is σ = 3649766400. Its totient is φ = 406241280.

The previous prime is 1226458357. The next prime is 1226458393. The reversal of 1226458368 is 8638546221.

1226458368 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 4 + 583 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319728 + ... + 1320656.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^1226458368 is an apocalyptic number.

1226458368 is a gapful number since it is divisible by the number (18) 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 1226458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824883200).

1226458368 is an abundant number, since it is smaller than the sum of its proper divisors (2423308032).

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

1226458368 is an equidigital number, since it uses as much as digits as its factorization.

1226458368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1125 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1226458368 is about 35020.8276315680. The cubic root of 1226458368 is about 1070.4119204770.

The spelling of 1226458368 in words is "one billion, two hundred twenty-six million, four hundred fifty-eight thousand, three hundred sixty-eight".