458138289856 has 224 divisors, whose sum is σ = 1085388776640. Its totient is φ = 189818732544.

The previous prime is 458138289823. The next prime is 458138289859. The reversal of 458138289856 is 658982831854.

It is a super-4 number, since 4×458138289856⁴ (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 458138289791 and 458138289800.

It is not an unprimeable number, because it can be changed into a prime (458138289859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34037880 + ... + 34051336.

It is an arithmetic number, because the mean of its divisors is an integer number (4845485610).

Almost surely, 2^458138289856 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 458138289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542694388320).

458138289856 is an abundant number, since it is smaller than the sum of its proper divisors (627250486784).

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

458138289856 is a wasteful number, since it uses less digits than its factorization.

458138289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13611 (or 13601 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 67.

The spelling of 458138289856 in words is "four hundred fifty-eight billion, one hundred thirty-eight million, two hundred eighty-nine thousand, eight hundred fifty-six".