482961802752 has 1600 divisors, whose sum is σ = 1820691468288. Its totient is φ = 125411328000.

The previous prime is 482961802751. The next prime is 482961802777. The reversal of 482961802752 is 257208169284.

482961802752 is a `hidden beast` number, since 4 + 8 + 296 + 1 + 80 + 275 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482961802751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6802278877 + ... + 6802278947.

Almost surely, 2^482961802752 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 482961802752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910345734144).

482961802752 is an abundant number, since it is smaller than the sum of its proper divisors (1337729665536).

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

482961802752 is a wasteful number, since it uses less digits than its factorization.

482961802752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 482961802752 in words is "four hundred eighty-two billion, nine hundred sixty-one million, eight hundred two thousand, seven hundred fifty-two".