314514299171601 has 27 divisors (see below), whose sum is σ = 454758535592049. Its totient is φ = 209464058748672.

The previous prime is 314514299171543. The next prime is 314514299171609. The reversal of 314514299171601 is 106171992415413.

The square root of 314514299171601 is 17734551.

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

314514299171601 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 1 + 4 + 29 + 9 + 1 + 7 + 1 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57440407313025 + 257073891858576 = 7578945^2 + 16033524^2 .

It is not a de Polignac number, because 314514299171601 - 2⁷ = 314514299171473 is a prime.

It is a super-3 number, since 3×314514299171601³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314514299171609) 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, 66451360231 + ... + 66451364963.

Almost surely, 2^{314514299171601} is an apocalyptic number.

314514299171601 is the 17734551-st square number.

314514299171601 is the 8867276-th centered octagonal number.

It is an amenable number.

314514299171601 is a deficient number, since it is larger than the sum of its proper divisors (140244236420448).

314514299171601 is an frugal number, since it uses more digits than its factorization.

314514299171601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 314514299171601 in words is "three hundred fourteen trillion, five hundred fourteen billion, two hundred ninety-nine million, one hundred seventy-one thousand, six hundred one".