314004443121 has 6 divisors (see below), whose sum is σ = 453561973410. Its totient is φ = 209336295408.

The previous prime is 314004443119. The next prime is 314004443131. The reversal of 314004443121 is 121344400413.

It can be written as a sum of positive squares in only one way, i.e., 311782640625 + 2221802496 = 558375^2 + 47136^2 .

It is not a de Polignac number, because 314004443121 - 2¹ = 314004443119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314004443131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17444691276 + ... + 17444691293.

It is an arithmetic number, because the mean of its divisors is an integer number (75593662235).

Almost surely, 2^314004443121 is an apocalyptic number.

It is an amenable number.

314004443121 is a deficient number, since it is larger than the sum of its proper divisors (139557530289).

314004443121 is a wasteful number, since it uses less digits than its factorization.

314004443121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34889382575 (or 34889382572 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314004443121 its reverse (121344400413), we get a palindrome (435348843534).

The spelling of 314004443121 in words is "three hundred fourteen billion, four million, four hundred forty-three thousand, one hundred twenty-one".