458506540832 has 18 divisors (see below), whose sum is σ = 902692293489. Its totient is φ = 229251355200.

The previous prime is 458506540829. The next prime is 458506540859. The reversal of 458506540832 is 238045605854.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 297195064336 + 161311476496 = 545156^2 + 401636^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=478804.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 3770582 + ... + 3890282.

Almost surely, 2^458506540832 is an apocalyptic number.

It is an amenable number.

458506540832 is a deficient number, since it is larger than the sum of its proper divisors (444185752657).

458506540832 is an frugal number, since it uses more digits than its factorization.

458506540832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239412 (or 119703 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 50.

Multiplying 458506540832 by its sum of digits (50), we get a square (22925327041600 = 4788040²).

The spelling of 458506540832 in words is "four hundred fifty-eight billion, five hundred six million, five hundred forty thousand, eight hundred thirty-two".