456303311442 has 32 divisors (see below), whose sum is σ = 1106189847360. Its totient is φ = 138273730560.

The previous prime is 456303311441. The next prime is 456303311461. The reversal of 456303311442 is 244113303654.

456303311442 is a `hidden beast` number, since 4 + 5 + 630 + 3 + 3 + 1 + 14 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456303311397 and 456303311406.

It is not an unprimeable number, because it can be changed into a prime (456303311441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 384093103 + ... + 384094290.

It is an arithmetic number, because the mean of its divisors is an integer number (34568432730).

Almost surely, 2^456303311442 is an apocalyptic number.

456303311442 is an abundant number, since it is smaller than the sum of its proper divisors (649886535918).

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

456303311442 is a wasteful number, since it uses less digits than its factorization.

456303311442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768187415 (or 768187409 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 456303311442 in words is "four hundred fifty-six billion, three hundred three million, three hundred eleven thousand, four hundred forty-two".