393918819393 has 48 divisors (see below), whose sum is σ = 605047685760. Its totient is φ = 227360432640.

The previous prime is 393918819391. The next prime is 393918819401.

It is a happy number.

393918819393 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 393918819393 - 2¹ = 393918819391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (393918819391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1808905 + ... + 2014937.

It is an arithmetic number, because the mean of its divisors is an integer number (12605160120).

Almost surely, 2^393918819393 is an apocalyptic number.

393918819393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

393918819393 is a deficient number, since it is larger than the sum of its proper divisors (211128866367).

393918819393 is a wasteful number, since it uses less digits than its factorization.

393918819393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206310 (or 206299 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 66.

The spelling of 393918819393 in words is "three hundred ninety-three billion, nine hundred eighteen million, eight hundred nineteen thousand, three hundred ninety-three".