459082046688 has 48 divisors (see below), whose sum is σ = 1205161203456. Its totient is φ = 153018354560.

The previous prime is 459082046663. The next prime is 459082046693. The reversal of 459082046688 is 886640280954.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×459082046688³ (a number of 36 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1614895 + ... + 1877777.

It is an arithmetic number, because the mean of its divisors is an integer number (25107525072).

Almost surely, 2^459082046688 is an apocalyptic number.

459082046688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

459082046688 is an abundant number, since it is smaller than the sum of its proper divisors (746079156768).

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

459082046688 is a wasteful number, since it uses less digits than its factorization.

459082046688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281087 (or 281079 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 459082046688 in words is "four hundred fifty-nine billion, eighty-two million, forty-six thousand, six hundred eighty-eight".