314041152450401 has 16 divisors (see below), whose sum is σ = 319284325531008. Its totient is φ = 308801055024000.

The previous prime is 314041152450383. The next prime is 314041152450427. The reversal of 314041152450401 is 104054251140413.

It is a cyclic number.

It is not a de Polignac number, because 314041152450401 - 2³⁸ = 313766274543457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314041152440401) 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, 3592981166 + ... + 3593068568.

It is an arithmetic number, because the mean of its divisors is an integer number (19955270345688).

Almost surely, 2^{314041152450401} is an apocalyptic number.

It is an amenable number.

314041152450401 is a deficient number, since it is larger than the sum of its proper divisors (5243173080607).

314041152450401 is a wasteful number, since it uses less digits than its factorization.

314041152450401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104312.

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 314041152450401 in words is "three hundred fourteen trillion, forty-one billion, one hundred fifty-two million, four hundred fifty thousand, four hundred one".