382241142283 has 48 divisors (see below), whose sum is σ = 543199046400. Its totient is φ = 260468058240.

The previous prime is 382241142251. The next prime is 382241142307.

382241142283 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 382241142283 - 2⁵ = 382241142251 is a prime.

It is a super-2 number, since 2×382241142283² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382241142203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525748 + ... + 1020241.

It is an arithmetic number, because the mean of its divisors is an integer number (11316646800).

Almost surely, 2^382241142283 is an apocalyptic number.

382241142283 is a deficient number, since it is larger than the sum of its proper divisors (160957904117).

382241142283 is a wasteful number, since it uses less digits than its factorization.

382241142283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546052 (or 1546039 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 382241142283 in words is "three hundred eighty-two billion, two hundred forty-one million, one hundred forty-two thousand, two hundred eighty-three".