458113352704 has 132 divisors (see below), whose sum is σ = 1069286026860. Its totient is φ = 195598663680.

The previous prime is 458113352701. The next prime is 458113352737. The reversal of 458113352704 is 407253311854.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112896000000 + 345217352704 = 336000^2 + 587552^2 .

It is a super-2 number, since 2×458113352704² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (458113352701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13480374 + ... + 13514314.

Almost surely, 2^458113352704 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 458113352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643013430).

458113352704 is an abundant number, since it is smaller than the sum of its proper divisors (611172674156).

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

458113352704 is a wasteful number, since it uses less digits than its factorization.

458113352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34244 (or 34219 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 458113352704 in words is "four hundred fifty-eight billion, one hundred thirteen million, three hundred fifty-two thousand, seven hundred four".