459116300206080 has 3192 divisors, whose sum is σ = 1917814306252464. Its totient is φ = 105442978037760.

The previous prime is 459116300206073. The next prime is 459116300206163. The reversal of 459116300206080 is 80602003611954.

459116300206080 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 1 + 6 + 30 + 0 + 2 + 0 + 608 + 0 = 666.

It is a super-2 number, since 2×459116300206080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24164015800311 + ... + 24164015800329.

Almost surely, 2^{459116300206080} is an apocalyptic number.

459116300206080 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 459116300206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958907153126232).

459116300206080 is an abundant number, since it is smaller than the sum of its proper divisors (1458698006046384).

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

459116300206080 is an frugal number, since it uses more digits than its factorization.

459116300206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 459116300206080 in words is "four hundred fifty-nine trillion, one hundred sixteen billion, three hundred million, two hundred six thousand, eighty".