314406504600401 has 8 divisors (see below), whose sum is σ = 314429408904384. Its totient is φ = 314383601085840.

The previous prime is 314406504600373. The next prime is 314406504600451. The reversal of 314406504600401 is 104006405604413.

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 314406504600401 - 2¹⁰ = 314406504599377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314406504600451) 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, 959103215 + ... + 959430971.

It is an arithmetic number, because the mean of its divisors is an integer number (39303676113048).

Almost surely, 2^{314406504600401} is an apocalyptic number.

It is an amenable number.

314406504600401 is a deficient number, since it is larger than the sum of its proper divisors (22904303983).

314406504600401 is a wasteful number, since it uses less digits than its factorization.

314406504600401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394711.

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 314406504600401 in words is "three hundred fourteen trillion, four hundred six billion, five hundred four million, six hundred thousand, four hundred one".