314879027218561 has 15 divisors (see below), whose sum is σ = 341121276225941. Its totient is φ = 290654795392728.

The previous prime is 314879027218519. The next prime is 314879027218589. The reversal of 314879027218561 is 165812720978413.

It is a happy number.

The square root of 314879027218561 is 17744831.

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

It can be written as a sum of positive squares in 2 ways, for example, as 156122051204161 + 158756976014400 = 12494881^2 + 12599880^2 .

It is not a de Polignac number, because 314879027218561 - 2¹⁹ = 314879026694273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314879027218493 and 314879027218502.

It is not an unprimeable number, because it can be changed into a prime (314879027218501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2998823940 + ... + 2998928938.

It is a 2-persistent number, because it is pandigital, and so is 2⋅314879027218561 = 629758054437122, but 3⋅314879027218561 = 944637081655683 is not.

Almost surely, 2^{314879027218561} is an apocalyptic number.

314879027218561 is the 17744831-st square number.

314879027218561 is the 8872416-th centered octagonal number.

It is an amenable number.

314879027218561 is a deficient number, since it is larger than the sum of its proper divisors (26242249007380).

314879027218561 is an frugal number, since it uses more digits than its factorization.

314879027218561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210050 (or 105012 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 314879027218561 in words is "three hundred fourteen trillion, eight hundred seventy-nine billion, twenty-seven million, two hundred eighteen thousand, five hundred sixty-one".