459081279793872 has 200 divisors, whose sum is σ = 1343939934598976. Its totient is φ = 151278731218944.

The previous prime is 459081279793859. The next prime is 459081279793879. The reversal of 459081279793872 is 278397972180954.

459081279793872 is a `hidden beast` number, since 4 + 5 + 90 + 8 + 12 + 79 + 79 + 387 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 459081279793791 and 459081279793800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459081279793879) 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, 74042403 + ... + 80002749.

Almost surely, 2^{459081279793872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459081279793872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671969967299488).

459081279793872 is an abundant number, since it is smaller than the sum of its proper divisors (884858654805104).

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

459081279793872 is a wasteful number, since it uses less digits than its factorization.

459081279793872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961047 (or 5961032 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 81.

The spelling of 459081279793872 in words is "four hundred fifty-nine trillion, eighty-one billion, two hundred seventy-nine million, seven hundred ninety-three thousand, eight hundred seventy-two".