458348248512 has 504 divisors, whose sum is σ = 1728978975360. Its totient is φ = 119049315840.

The previous prime is 458348248489. The next prime is 458348248559. The reversal of 458348248512 is 215842843854.

458348248512 is a `hidden beast` number, since 4 + 5 + 8 + 3 + 4 + 82 + 48 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×458348248512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8355189 + ... + 8409867.

It is an arithmetic number, because the mean of its divisors is an integer number (3430513840).

Almost surely, 2^458348248512 is an apocalyptic number.

458348248512 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 458348248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864489487680).

458348248512 is an abundant number, since it is smaller than the sum of its proper divisors (1270630726848).

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

458348248512 is a wasteful number, since it uses less digits than its factorization.

458348248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54731 (or 54702 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 458348248512 in words is "four hundred fifty-eight billion, three hundred forty-eight million, two hundred forty-eight thousand, five hundred twelve".