456358863468 has 48 divisors (see below), whose sum is σ = 1111546308096. Its totient is φ = 145451813760.

The previous prime is 456358863461. The next prime is 456358863473. The reversal of 456358863468 is 864368853654.

It is a junction number, because it is equal to n+sod(n) for n = 456358863399 and 456358863408.

It is not an unprimeable number, because it can be changed into a prime (456358863461) 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 15 ways as a sum of consecutive naturals, for example, 443280 + ... + 1053192.

It is an arithmetic number, because the mean of its divisors is an integer number (23157214752).

Almost surely, 2^456358863468 is an apocalyptic number.

It is an amenable number.

456358863468 is an abundant number, since it is smaller than the sum of its proper divisors (655187444628).

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

456358863468 is a wasteful number, since it uses less digits than its factorization.

456358863468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612654 (or 612652 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 66.

The spelling of 456358863468 in words is "four hundred fifty-six billion, three hundred fifty-eight million, eight hundred sixty-three thousand, four hundred sixty-eight".