314356115457 has 10 divisors (see below), whose sum is σ = 469593703458. Its totient is φ = 209570743584.

The previous prime is 314356115413. The next prime is 314356115467. The reversal of 314356115457 is 754511653413.

314356115457 is a `hidden beast` number, since 3 + 1 + 43 + 5 + 61 + 1 + 545 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306322399296 + 8033716161 = 553464^2 + 89631^2 .

It is not a de Polignac number, because 314356115457 - 2¹⁹ = 314355591169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314356115467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1940469768 + ... + 1940469929.

Almost surely, 2^314356115457 is an apocalyptic number.

It is an amenable number.

314356115457 is a deficient number, since it is larger than the sum of its proper divisors (155237588001).

314356115457 is an equidigital number, since it uses as much as digits as its factorization.

314356115457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880939709 (or 3880939700 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 314356115457 in words is "three hundred fourteen billion, three hundred fifty-six million, one hundred fifteen thousand, four hundred fifty-seven".