482633578170432 has 1344 divisors, whose sum is σ = 1710445822525440. Its totient is φ = 133577844940800.

The previous prime is 482633578170397. The next prime is 482633578170493. The reversal of 482633578170432 is 234071875336284.

482633578170432 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 3 + 3 + 57 + 81 + 70 + 432 = 666.

It is a super-3 number, since 3×482633578170432³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 482633578170432.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6311289957 + ... + 6311366427.

It is an arithmetic number, because the mean of its divisors is an integer number (1272653141760).

Almost surely, 2^{482633578170432} 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 482633578170432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855222911262720).

482633578170432 is an abundant number, since it is smaller than the sum of its proper divisors (1227812244355008).

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

482633578170432 is a wasteful number, since it uses less digits than its factorization.

482633578170432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76614 (or 76592 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 482633578170432 in words is "four hundred eighty-two trillion, six hundred thirty-three billion, five hundred seventy-eight million, one hundred seventy thousand, four hundred thirty-two".