458505505854 has 32 divisors (see below), whose sum is σ = 1111528500480. Its totient is φ = 138941062200.

The previous prime is 458505505823. The next prime is 458505505891.

It is a happy number.

458505505854 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 0 + 5 + 50 + 585 + 4 = 666.

458505505854 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 458505505854.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385946802 + ... + 385947989.

It is an arithmetic number, because the mean of its divisors is an integer number (34735265640).

Almost surely, 2^458505505854 is an apocalyptic number.

458505505854 is an abundant number, since it is smaller than the sum of its proper divisors (653022994626).

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

458505505854 is a wasteful number, since it uses less digits than its factorization.

458505505854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771894813 (or 771894807 counting only the distinct ones).

The product of its (nonzero) digits is 16000000, while the sum is 54.

The spelling of 458505505854 in words is "four hundred fifty-eight billion, five hundred five million, five hundred five thousand, eight hundred fifty-four".