458685381096 has 128 divisors (see below), whose sum is σ = 1315849190400. Its totient is φ = 147893022720.

The previous prime is 458685381059. The next prime is 458685381101. The reversal of 458685381096 is 690183586854.

458685381096 is a `hidden beast` number, since 4 + 5 + 8 + 6 + 8 + 538 + 1 + 0 + 96 = 666.

It is a super-2 number, since 2×458685381096² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15204940 + ... + 15235076.

It is an arithmetic number, because the mean of its divisors is an integer number (10280071800).

Almost surely, 2^458685381096 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 458685381096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657924595200).

458685381096 is an abundant number, since it is smaller than the sum of its proper divisors (857163809304).

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

458685381096 is a wasteful number, since it uses less digits than its factorization.

458685381096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32456 (or 32446 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 458685381096 in words is "four hundred fifty-eight billion, six hundred eighty-five million, three hundred eighty-one thousand, ninety-six".