385907283333 has 144 divisors (see below), whose sum is σ = 686926513728. Its totient is φ = 205765401600.

The previous prime is 385907283317. The next prime is 385907283343. The reversal of 385907283333 is 333382709583.

385907283333 is a `hidden beast` number, since 3 + 85 + 90 + 72 + 83 + 333 = 666.

It is not a de Polignac number, because 385907283333 - 2⁴ = 385907283317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385907283333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385907283343) 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 143 ways as a sum of consecutive naturals, for example, 82863741 + ... + 82868397.

It is an arithmetic number, because the mean of its divisors is an integer number (4770323012).

Almost surely, 2^385907283333 is an apocalyptic number.

385907283333 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

385907283333 is a deficient number, since it is larger than the sum of its proper divisors (301019230395).

385907283333 is a wasteful number, since it uses less digits than its factorization.

385907283333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 385907283333 in words is "three hundred eighty-five billion, nine hundred seven million, two hundred eighty-three thousand, three hundred thirty-three".