314044513353 has 12 divisors (see below), whose sum is σ = 453628197828. Its totient is φ = 209359157280.

The previous prime is 314044513333. The next prime is 314044513361. The reversal of 314044513353 is 353315440413.

314044513353 is a `hidden beast` number, since 31 + 4 + 0 + 445 + 133 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132545508624 + 181499004729 = 364068^2 + 426027^2 .

It is not a de Polignac number, because 314044513353 - 2⁹ = 314044512841 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314044513333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248623 + ... + 830603.

It is an arithmetic number, because the mean of its divisors is an integer number (37802349819).

Almost surely, 2^314044513353 is an apocalyptic number.

It is an amenable number.

314044513353 is a deficient number, since it is larger than the sum of its proper divisors (139583684475).

314044513353 is a wasteful number, since it uses less digits than its factorization.

314044513353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641944 (or 641941 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 314044513353 its reverse (353315440413), we get a palindrome (667359953766).

The spelling of 314044513353 in words is "three hundred fourteen billion, forty-four million, five hundred thirteen thousand, three hundred fifty-three".