458116485120 has 312 divisors, whose sum is σ = 1814797435776. Its totient is φ = 104712044544.

The previous prime is 458116485059. The next prime is 458116485143. The reversal of 458116485120 is 21584611854.

458116485120 is a `hidden beast` number, since 4 + 5 + 81 + 16 + 48 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1112709 + ... + 1467771.

It is an arithmetic number, because the mean of its divisors is an integer number (5816658448).

Almost surely, 2^458116485120 is an apocalyptic number.

458116485120 is a gapful number since it is divisible by the number (40) 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 458116485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907398717888).

458116485120 is an abundant number, since it is smaller than the sum of its proper divisors (1356680950656).

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

458116485120 is a wasteful number, since it uses less digits than its factorization.

458116485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355105 (or 355080 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 458116485120 in words is "four hundred fifty-eight billion, one hundred sixteen million, four hundred eighty-five thousand, one hundred twenty".