482642909090496 has 1344 divisors, whose sum is σ = 1883617182720000. Its totient is φ = 118711586119680.

The previous prime is 482642909090491. The next prime is 482642909090513. The reversal of 482642909090496 is 694090909246284.

482642909090496 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 42 + 9 + 0 + 9 + 0 + 90 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (482642909090491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89394868405 + ... + 89394873803.

It is an arithmetic number, because the mean of its divisors is an integer number (1401500880000).

Almost surely, 2^{482642909090496} 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 482642909090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941808591360000).

482642909090496 is an abundant number, since it is smaller than the sum of its proper divisors (1400974273629504).

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

482642909090496 is a wasteful number, since it uses less digits than its factorization.

482642909090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 482642909090496 in words is "four hundred eighty-two trillion, six hundred forty-two billion, nine hundred nine million, ninety thousand, four hundred ninety-six".