283431282134382 has 128 divisors (see below), whose sum is σ = 695904883660800. Its totient is φ = 85052053836288.

The previous prime is 283431282134327. The next prime is 283431282134383.

283431282134382 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 3 + 128 + 2 + 134 + 382 = 666.

283431282134382 is nontrivially palindromic in base 10.

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 (283431282134383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2030400244 + ... + 2030539832.

It is an arithmetic number, because the mean of its divisors is an integer number (5436756903600).

Almost surely, 2^{283431282134382} is an apocalyptic number.

283431282134382 is an abundant number, since it is smaller than the sum of its proper divisors (412473601526418).

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

283431282134382 is a wasteful number, since it uses less digits than its factorization.

283431282134382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235807 (or 235801 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 283431282134382 in words is "two hundred eighty-three trillion, four hundred thirty-one billion, two hundred eighty-two million, one hundred thirty-four thousand, three hundred eighty-two".