314253868020849 has 27 divisors (see below), whose sum is σ = 470116793602209. Its totient is φ = 202277359105920.

The previous prime is 314253868020823. The next prime is 314253868020877. The reversal of 314253868020849 is 948020868352413.

The square root of 314253868020849 is 17727207.

It is a perfect power (a square), and thus also a powerful number.

314253868020849 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 5 + 386 + 8 + 0 + 208 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51745823610849 + 262508044410000 = 7193457^2 + 16202100^2 .

It is not a de Polignac number, because 314253868020849 - 2¹³ = 314253868012657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314253868020809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1542165129 + ... + 1542368889.

Almost surely, 2^{314253868020849} is an apocalyptic number.

314253868020849 is the 17727207-th square number.

314253868020849 is the 8863604-th centered octagonal number.

It is an amenable number.

314253868020849 is a deficient number, since it is larger than the sum of its proper divisors (155862925581360).

314253868020849 is an frugal number, since it uses more digits than its factorization.

314253868020849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407586 (or 203793 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 314253868020849 in words is "three hundred fourteen trillion, two hundred fifty-three billion, eight hundred sixty-eight million, twenty thousand, eight hundred forty-nine".