314288330656041 has 27 divisors (see below), whose sum is σ = 528090541688541. Its totient is φ = 179593119065304.

The previous prime is 314288330656009. The next prime is 314288330656051. The reversal of 314288330656041 is 140656033882413.

The square root of 314288330656041 is 17728179.

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

314288330656041 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 8 + 8 + 3 + 30 + 6 + 560 + 41 = 666.

It is not a de Polignac number, because 314288330656041 - 2⁵ = 314288330656009 is a prime.

It is a super-2 number, since 2×314288330656041² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314288330656051) 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, 371869660 + ... + 372713858.

Almost surely, 2^{314288330656041} is an apocalyptic number.

314288330656041 is the 17728179-th square number.

314288330656041 is the 8864090-th centered octagonal number.

It is an amenable number.

314288330656041 is a deficient number, since it is larger than the sum of its proper divisors (213802211032500).

314288330656041 is an frugal number, since it uses more digits than its factorization.

314288330656041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688418 (or 844209 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 314288330656041 in words is "three hundred fourteen trillion, two hundred eighty-eight billion, three hundred thirty million, six hundred fifty-six thousand, forty-one".