482281538199552 has 1344 divisors, whose sum is σ = 1871782400517120. Its totient is φ = 120499790413824.

The previous prime is 482281538199541. The next prime is 482281538199557. The reversal of 482281538199552 is 255991835182284.

482281538199552 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 8 + 1 + 53 + 8 + 19 + 9 + 552 = 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 (482281538199557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3441774163 + ... + 3441914285.

It is an arithmetic number, because the mean of its divisors is an integer number (1392695238480).

Almost surely, 2^{482281538199552} is an apocalyptic number.

482281538199552 is a gapful number since it is divisible by the number (42) 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 482281538199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935891200258560).

482281538199552 is an abundant number, since it is smaller than the sum of its proper divisors (1389500862317568).

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

482281538199552 is a wasteful number, since it uses less digits than its factorization.

482281538199552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140203 (or 140167 counting only the distinct ones).

The product of its digits is 497664000, while the sum is 72.

The spelling of 482281538199552 in words is "four hundred eighty-two trillion, two hundred eighty-one billion, five hundred thirty-eight million, one hundred ninety-nine thousand, five hundred fifty-two".