459008161672320 has 1536 divisors, whose sum is σ = 1772469303264000. Its totient is φ = 112210125520896.

The previous prime is 459008161672289. The next prime is 459008161672321. The reversal of 459008161672320 is 23276161800954.

It is a happy number.

459008161672320 is a `hidden beast` number, since 4 + 5 + 90 + 0 + 8 + 161 + 6 + 72 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (459008161672321) 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 191 ways as a sum of consecutive naturals, for example, 308266058136 + ... + 308266059624.

It is a 1-persistent number, because it is pandigital, but 2⋅459008161672320 = 918016323344640 is not.

Almost surely, 2^{459008161672320} is an apocalyptic number.

459008161672320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459008161672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886234651632000).

459008161672320 is an abundant number, since it is smaller than the sum of its proper divisors (1313461141591680).

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

459008161672320 is a wasteful number, since it uses less digits than its factorization.

459008161672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 459008161672320 in words is "four hundred fifty-nine trillion, eight billion, one hundred sixty-one million, six hundred seventy-two thousand, three hundred twenty".