382735832481 has 16 divisors (see below), whose sum is σ = 567028281600. Its totient is φ = 255151716624.

The previous prime is 382735832471. The next prime is 382735832489. The reversal of 382735832481 is 184238537283.

382735832481 is a `hidden beast` number, since 3 + 82 + 7 + 3 + 5 + 83 + 2 + 481 = 666.

It is not a de Polignac number, because 382735832481 - 2³⁰ = 381662090657 is a prime.

It is a super-2 number, since 2×382735832481² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (382735832489) 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 15 ways as a sum of consecutive naturals, for example, 1413400 + ... + 1662278.

It is an arithmetic number, because the mean of its divisors is an integer number (35439267600).

Almost surely, 2^382735832481 is an apocalyptic number.

It is an amenable number.

382735832481 is a deficient number, since it is larger than the sum of its proper divisors (184292449119).

382735832481 is a wasteful number, since it uses less digits than its factorization.

382735832481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305845 (or 305839 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 382735832481 in words is "three hundred eighty-two billion, seven hundred thirty-five million, eight hundred thirty-two thousand, four hundred eighty-one".