459114872832 has 612 divisors, whose sum is σ = 1667936146240. Its totient is φ = 119120855040.

The previous prime is 459114872813. The next prime is 459114872861. The reversal of 459114872832 is 238278411954.

459114872832 is a `hidden beast` number, since 4 + 591 + 1 + 48 + 7 + 2 + 8 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499580469 + ... + 499581387.

Almost surely, 2^459114872832 is an apocalyptic number.

459114872832 is a gapful number since it is divisible by the number (42) 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 459114872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833968073120).

459114872832 is an abundant number, since it is smaller than the sum of its proper divisors (1208821273408).

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

459114872832 is an equidigital number, since it uses as much as digits as its factorization.

459114872832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 942 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 459114872832 in words is "four hundred fifty-nine billion, one hundred fourteen million, eight hundred seventy-two thousand, eight hundred thirty-two".