314112210401 has 6 divisors (see below), whose sum is σ = 345263834706. Its totient is φ = 285556554800.

The previous prime is 314112210383. The next prime is 314112210407. The reversal of 314112210401 is 104012211413.

It can be written as a sum of positive squares in only one way, i.e., 302923648225 + 11188562176 = 550385^2 + 105776^2 .

It is not a de Polignac number, because 314112210401 - 2³⁸ = 39234303457 is a prime.

It is a super-3 number, since 3×314112210401³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314112210407) 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 5 ways as a sum of consecutive naturals, for example, 1297984220 + ... + 1297984461.

It is an arithmetic number, because the mean of its divisors is an integer number (57543972451).

Almost surely, 2^314112210401 is an apocalyptic number.

It is an amenable number.

314112210401 is a deficient number, since it is larger than the sum of its proper divisors (31151624305).

314112210401 is a wasteful number, since it uses less digits than its factorization.

314112210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595968703 (or 2595968692 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 314112210401 its reverse (104012211413), we get a palindrome (418124421814).

The spelling of 314112210401 in words is "three hundred fourteen billion, one hundred twelve million, two hundred ten thousand, four hundred one".