482956443648 has 576 divisors, whose sum is σ = 1709362512000. Its totient is φ = 130650734592.

The previous prime is 482956443647. The next prime is 482956443679. The reversal of 482956443648 is 846344659284.

It is a happy number.

482956443648 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 564 + 4 + 3 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×482956443648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (482956443647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274562193 + ... + 274563951.

It is an arithmetic number, because the mean of its divisors is an integer number (2967643250).

Almost surely, 2^482956443648 is an apocalyptic number.

482956443648 is a gapful number since it is divisible by the number (48) 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 482956443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854681256000).

482956443648 is an abundant number, since it is smaller than the sum of its proper divisors (1226406068352).

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

482956443648 is a wasteful number, since it uses less digits than its factorization.

482956443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1790 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 482956443648 in words is "four hundred eighty-two billion, nine hundred fifty-six million, four hundred forty-three thousand, six hundred forty-eight".