459068680000 has 280 divisors, whose sum is σ = 1377502708032. Its totient is φ = 148134912000.

The previous prime is 459068679943. The next prime is 459068680001. The reversal of 459068680000 is 86860954.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459068680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4711779 + ... + 4808221.

Almost surely, 2^459068680000 is an apocalyptic number.

459068680000 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 459068680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688751354016).

459068680000 is an abundant number, since it is smaller than the sum of its proper divisors (918434028032).

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

459068680000 is an equidigital number, since it uses as much as digits as its factorization.

459068680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96499 (or 96474 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 459068680000 in words is "four hundred fifty-nine billion, sixty-eight million, six hundred eighty thousand".