458223132672 has 294 divisors, whose sum is σ = 1378935009333. Its totient is φ = 152189632512.

The previous prime is 458223132643. The next prime is 458223132673. The reversal of 458223132672 is 276231322854.

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.

458223132672 is a `hidden beast` number, since 4 + 58 + 22 + 313 + 267 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 402179198976 + 56043933696 = 634176^2 + 236736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=478656.

It is not an unprimeable number, because it can be changed into a prime (458223132673) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1654234998 + ... + 1654235274.

Almost surely, 2^458223132672 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 458223132672

458223132672 is an abundant number, since it is smaller than the sum of its proper divisors (920711876661).

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

458223132672 is an frugal number, since it uses more digits than its factorization.

458223132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 282 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 458223132672 in words is "four hundred fifty-eight billion, two hundred twenty-three million, one hundred thirty-two thousand, six hundred seventy-two".