459545959089 has 48 divisors (see below), whose sum is σ = 792457776000. Its totient is φ = 262433068128.

The previous prime is 459545959039. The next prime is 459545959121. The reversal of 459545959089 is 980959545954.

459545959089 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 459 + 5 + 90 + 89 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-459545959089 is a prime.

It is a super-2 number, since 2×459545959089² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459545959039) 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 47 ways as a sum of consecutive naturals, for example, 2017987 + ... + 2234135.

It is an arithmetic number, because the mean of its divisors is an integer number (16509537000).

Almost surely, 2^459545959089 is an apocalyptic number.

459545959089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

459545959089 is a deficient number, since it is larger than the sum of its proper divisors (332911816911).

459545959089 is a wasteful number, since it uses less digits than its factorization.

459545959089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217779 (or 217766 counting only the distinct ones).

The product of its (nonzero) digits is 524880000, while the sum is 72.

The spelling of 459545959089 in words is "four hundred fifty-nine billion, five hundred forty-five million, nine hundred fifty-nine thousand, eighty-nine".