456811229448 has 180 divisors, whose sum is σ = 1488783971565. Its totient is φ = 130483084032.

The previous prime is 456811229429. The next prime is 456811229471. The reversal of 456811229448 is 844922118654.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

456811229448 is a `hidden beast` number, since 4 + 5 + 68 + 112 + 29 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 404396790084 + 52414439364 = 635922^2 + 228942^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=477918.

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

It is a junction number, because it is equal to n+sod(n) for n = 456811229394 and 456811229403.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120433440 + ... + 120437232.

Almost surely, 2^456811229448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456811229448

456811229448 is an abundant number, since it is smaller than the sum of its proper divisors (1031972742117).

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

456811229448 is an frugal number, since it uses more digits than its factorization.

456811229448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 3805 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 456811229448 in words is "four hundred fifty-six billion, eight hundred eleven million, two hundred twenty-nine thousand, four hundred forty-eight".