458125072704 has 168 divisors, whose sum is σ = 1417106396160. Its totient is φ = 140666176512.

The previous prime is 458125072663. The next prime is 458125072753. The reversal of 458125072704 is 407270521854.

458125072704 is a `hidden beast` number, since 45 + 81 + 2 + 507 + 27 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 458125072704.

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, 3522889 + ... + 3650615.

It is an arithmetic number, because the mean of its divisors is an integer number (8435157120).

Almost surely, 2^458125072704 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 458125072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708553198080).

458125072704 is an abundant number, since it is smaller than the sum of its proper divisors (958981323456).

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

458125072704 is a wasteful number, since it uses less digits than its factorization.

458125072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128237 (or 128224 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 458125072704 in words is "four hundred fifty-eight billion, one hundred twenty-five million, seventy-two thousand, seven hundred four".