314801689905 has 48 divisors (see below), whose sum is σ = 608161806720. Its totient is φ = 149701353984.

The previous prime is 314801689883. The next prime is 314801689921. The reversal of 314801689905 is 509986108413.

314801689905 is a `hidden beast` number, since 314 + 80 + 168 + 9 + 90 + 5 = 666.

It is not a de Polignac number, because 314801689905 - 2¹⁰ = 314801688881 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10814557 + ... + 10843626.

It is an arithmetic number, because the mean of its divisors is an integer number (12670037640).

Almost surely, 2^314801689905 is an apocalyptic number.

It is an amenable number.

314801689905 is a deficient number, since it is larger than the sum of its proper divisors (293360116815).

314801689905 is a wasteful number, since it uses less digits than its factorization.

314801689905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21658230 (or 21658227 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 314801689905 in words is "three hundred fourteen billion, eight hundred one million, six hundred eighty-nine thousand, nine hundred five".