482166915525504 has 1024 divisors, whose sum is σ = 1584409624012800. Its totient is φ = 143137243791360.

The previous prime is 482166915525497. The next prime is 482166915525557. The reversal of 482166915525504 is 405525519661284.

482166915525504 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 6 + 69 + 15 + 5 + 2 + 550 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 441140818782 + ... + 441140819874.

It is an arithmetic number, because the mean of its divisors is an integer number (1547275023450).

Almost surely, 2^{482166915525504} is an apocalyptic number.

482166915525504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482166915525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792204812006400).

482166915525504 is an abundant number, since it is smaller than the sum of its proper divisors (1102242708487296).

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

482166915525504 is a wasteful number, since it uses less digits than its factorization.

482166915525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 482166915525504 in words is "four hundred eighty-two trillion, one hundred sixty-six billion, nine hundred fifteen million, five hundred twenty-five thousand, five hundred four".