314414313013401 has 16 divisors (see below), whose sum is σ = 420798530476800. Its totient is φ = 208819896599808.

The previous prime is 314414313013351. The next prime is 314414313013403. The reversal of 314414313013401 is 104310313414413.

It is not a de Polignac number, because 314414313013401 - 2¹⁴ = 314414312997017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314414313013403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6460545 + ... + 25895313.

It is an arithmetic number, because the mean of its divisors is an integer number (26299908154800).

Almost surely, 2^{314414313013401} is an apocalyptic number.

It is an amenable number.

314414313013401 is a deficient number, since it is larger than the sum of its proper divisors (106384217463399).

314414313013401 is a wasteful number, since it uses less digits than its factorization.

314414313013401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19455088.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 314414313013401 its reverse (104310313414413), we get a palindrome (418724626427814).

The spelling of 314414313013401 in words is "three hundred fourteen trillion, four hundred fourteen billion, three hundred thirteen million, thirteen thousand, four hundred one".