482174451072 has 192 divisors, whose sum is σ = 1461447187200. Its totient is φ = 152170417152.

The previous prime is 482174451049. The next prime is 482174451079. The reversal of 482174451072 is 270154471284.

482174451072 is a `hidden beast` number, since 4 + 8 + 21 + 7 + 44 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482174451079) by changing a digit.

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, 40421173 + ... + 40433099.

It is an arithmetic number, because the mean of its divisors is an integer number (7611704100).

Almost surely, 2^482174451072 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 482174451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730723593600).

482174451072 is an abundant number, since it is smaller than the sum of its proper divisors (979272736128).

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

482174451072 is a wasteful number, since it uses less digits than its factorization.

482174451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 482174451072 in words is "four hundred eighty-two billion, one hundred seventy-four million, four hundred fifty-one thousand, seventy-two".