457644446226 has 96 divisors (see below), whose sum is σ = 1091144298816. Its totient is φ = 138616632000.

The previous prime is 457644446221. The next prime is 457644446261. The reversal of 457644446226 is 622644446754.

457644446226 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 4 + 4 + 4 + 4 + 622 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (457644446221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100645285 + ... + 100649831.

It is an arithmetic number, because the mean of its divisors is an integer number (11366086446).

Almost surely, 2^457644446226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457644446226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545572149408).

457644446226 is an abundant number, since it is smaller than the sum of its proper divisors (633499852590).

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

457644446226 is a wasteful number, since it uses less digits than its factorization.

457644446226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789 (or 8764 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 54.

The spelling of 457644446226 in words is "four hundred fifty-seven billion, six hundred forty-four million, four hundred forty-six thousand, two hundred twenty-six".