458966652672 has 432 divisors, whose sum is σ = 1381095152640. Its totient is φ = 135157186560.

The previous prime is 458966652667. The next prime is 458966652689. The reversal of 458966652672 is 276256669854.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531826513 + ... + 531827375.

It is an arithmetic number, because the mean of its divisors is an integer number (3196979520).

Almost surely, 2^458966652672 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 458966652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690547576320).

458966652672 is an abundant number, since it is smaller than the sum of its proper divisors (922128499968).

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

458966652672 is a wasteful number, since it uses less digits than its factorization.

458966652672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1035 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 66.

The spelling of 458966652672 in words is "four hundred fifty-eight billion, nine hundred sixty-six million, six hundred fifty-two thousand, six hundred seventy-two".