482729041152 has 216 divisors, whose sum is σ = 1460781669984. Its totient is φ = 158969309184.

The previous prime is 482729041139. The next prime is 482729041169. The reversal of 482729041152 is 251140927284.

482729041152 is a `hidden beast` number, since 4 + 82 + 72 + 90 + 411 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 482729041098 and 482729041107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5116518 + ... + 5210010.

Almost surely, 2^482729041152 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 482729041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730390834992).

482729041152 is an abundant number, since it is smaller than the sum of its proper divisors (978052628832).

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

482729041152 is an frugal number, since it uses more digits than its factorization.

482729041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93607 (or 93581 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 482729041152 in words is "four hundred eighty-two billion, seven hundred twenty-nine million, forty-one thousand, one hundred fifty-two".