459005355648 has 192 divisors, whose sum is σ = 1510799209920. Its totient is φ = 131033825280.

The previous prime is 459005355623. The next prime is 459005355667. The reversal of 459005355648 is 846553500954.

459005355648 is a `hidden beast` number, since 4 + 59 + 0 + 0 + 535 + 56 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 459005355594 and 459005355603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9790503 + ... + 9837273.

It is an arithmetic number, because the mean of its divisors is an integer number (7868745885).

Almost surely, 2^459005355648 is an apocalyptic number.

459005355648 is a gapful number since it is divisible by the number (48) 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 459005355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755399604960).

459005355648 is an abundant number, since it is smaller than the sum of its proper divisors (1051793854272).

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

459005355648 is a wasteful number, since it uses less digits than its factorization.

459005355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48015 (or 48000 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 459005355648 in words is "four hundred fifty-nine billion, five million, three hundred fifty-five thousand, six hundred forty-eight".