458805954464 has 48 divisors (see below), whose sum is σ = 1061189307360. Its totient is φ = 192505992960.

The previous prime is 458805954457. The next prime is 458805954533. The reversal of 458805954464 is 464459508854.

It is a junction number, because it is equal to n+sod(n) for n = 458805954397 and 458805954406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50127194 + ... + 50136345.

It is an arithmetic number, because the mean of its divisors is an integer number (22108110570).

Almost surely, 2^458805954464 is an apocalyptic number.

458805954464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

458805954464 is an abundant number, since it is smaller than the sum of its proper divisors (602383352896).

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

458805954464 is a wasteful number, since it uses less digits than its factorization.

458805954464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100263573 (or 100263565 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 62.

The spelling of 458805954464 in words is "four hundred fifty-eight billion, eight hundred five million, nine hundred fifty-four thousand, four hundred sixty-four".