314258227201 has 8 divisors (see below), whose sum is σ = 317934438120. Its totient is φ = 310602050688.

The previous prime is 314258227159. The next prime is 314258227219. The reversal of 314258227201 is 102722852413.

It can be written as a sum of positive squares in 4 ways, for example, as 108504360000 + 205753867201 = 329400^2 + 453601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314258227201 - 2²⁷ = 314124009473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314258227271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4977046 + ... + 5039791.

It is an arithmetic number, because the mean of its divisors is an integer number (39741804765).

It is a Proth number, since it is equal to 74925 ⋅ 2²² + 1 and 74925 < 2²².

Almost surely, 2^314258227201 is an apocalyptic number.

It is an amenable number.

314258227201 is a deficient number, since it is larger than the sum of its proper divisors (3676210919).

314258227201 is a wasteful number, since it uses less digits than its factorization.

314258227201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017203.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 314258227201 in words is "three hundred fourteen billion, two hundred fifty-eight million, two hundred twenty-seven thousand, two hundred one".