385985748961 has 6 divisors (see below), whose sum is σ = 407370001362. Its totient is φ = 365670709200.

The previous prime is 385985748959. The next prime is 385985748989. The reversal of 385985748961 is 169847589583.

It can be written as a sum of positive squares in only one way, i.e., 344151182736 + 41834566225 = 586644^2 + 204535^2 .

It is not a de Polignac number, because 385985748961 - 2¹ = 385985748959 is a prime.

It is a super-2 number, since 2×385985748961² (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 (385985748931) 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 5 ways as a sum of consecutive naturals, for example, 534605940 + ... + 534606661.

It is an arithmetic number, because the mean of its divisors is an integer number (67895000227).

Almost surely, 2^385985748961 is an apocalyptic number.

It is an amenable number.

385985748961 is a deficient number, since it is larger than the sum of its proper divisors (21384252401).

385985748961 is a wasteful number, since it uses less digits than its factorization.

385985748961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069212639 (or 1069212620 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 73.

The spelling of 385985748961 in words is "three hundred eighty-five billion, nine hundred eighty-five million, seven hundred forty-eight thousand, nine hundred sixty-one".