458284348485616 has 80 divisors (see below), whose sum is σ = 936572582304000. Its totient is φ = 216637858105344.

The previous prime is 458284348485583. The next prime is 458284348485629. The reversal of 458284348485616 is 616584843482854.

It is a super-2 number, since 2×458284348485616² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483355471 + ... + 484302673.

It is an arithmetic number, because the mean of its divisors is an integer number (11707157278800).

Almost surely, 2^{458284348485616} 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 458284348485616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468286291152000).

458284348485616 is an abundant number, since it is smaller than the sum of its proper divisors (478288233818384).

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

458284348485616 is a wasteful number, since it uses less digits than its factorization.

458284348485616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950486 (or 950480 counting only the distinct ones).

The product of its digits is 5662310400, while the sum is 76.

The spelling of 458284348485616 in words is "four hundred fifty-eight trillion, two hundred eighty-four billion, three hundred forty-eight million, four hundred eighty-five thousand, six hundred sixteen".