385365563583 has 96 divisors (see below), whose sum is σ = 694441677312. Its totient is φ = 184586688000.

The previous prime is 385365563549. The next prime is 385365563591.

385365563583 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 385365563583 - 2¹⁰ = 385365562559 is a prime.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385365523583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38916933 + ... + 38926833.

It is an arithmetic number, because the mean of its divisors is an integer number (7233767472).

Almost surely, 2^385365563583 is an apocalyptic number.

385365563583 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

385365563583 is a deficient number, since it is larger than the sum of its proper divisors (309076113729).

385365563583 is a wasteful number, since it uses less digits than its factorization.

385365563583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10945 (or 10932 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 60.

The spelling of 385365563583 in words is "three hundred eighty-five billion, three hundred sixty-five million, five hundred sixty-three thousand, five hundred eighty-three".